Sufficient Slope Search Results

How To: Find the slope of a line given 2 points

In this video the instructor shows how to find the slope of a line given two points that like on the line. Slope of a line is the measure of the steepness of the line compared to the angle made by the line with the x-axes. A line with positive slope slants forwards and a line with a negative slope slants backwards and a line parallel to x axes has zero slope. So if you are given two points (x1, y1) and (x2, y2), the slope of the line passing through those two points is equal to m = (y2 - y1)/...

How To: Write a slope-intercept equation given an X-Y table

In this tutorial the author shows how to derive a slope-intercept equation of a line given an X-Y table. He explains that the general form of slope intercept form which is y = m*x + b. Now he intends to find value of slope, i.e. m first. Now slope is change in y over change in x. He computes the slope using the X-Y values from the table. Next he substitutes a pair of x, y value in the equation to compute the value of y intercept b. Now finally substituting the values in the equation the slop-...

How To: Find the equation of a tangent line

This is the video about how to find the equation of a tangent line. As you may recall, a line which is tangent to a curve at a point a, must have the same slope as the curve. Therefore, the slope of the tangent is m = lim f(a + h) - f(a) h-->0 h Since the slope equation of the tangent line is exactly the same as the derivative definition, an easier way to find the tangent line is to differentiate using the rules on the function f. For example, Find the slope of a line tangent to the function ...

How To: Find a slope of a line parallel/perpendicular to it

This video tells you how to find a slope of a parallel / perpendicular to it. In the equation y = mx + c, m is the slope. To calculate the slope of a line that is parallel to another line, you have to consider the rule m1 = m2 which means slope of the first line m1 is equal to the second line m2, if both the lines are parallel. Take the equation y = 2/3x - 7.2/3 is the slope. According to the rule m1 = 2/3 and so m2 = 2/3.Now to calculate the slope of perpendicular line you have another rule ...

How To: Find the slope's unit of measure

This educational video from free math tutoring shows how to calculate the slope of a line and assign units to the answer obtained. This video assumes that the viewer is familiar with the concepts of axes and co-ordinate geometry. The narrator uses a commonly used formula to calculate the slope of the line in the first section of the video. In the second section, the narrator demonstrates how to assign units to the answer, as per the question asked.

How To: Find the equation of a line in point-slope form

When you are given a point through which a line passes and the slope of that line, you can calculate the equation of that line. The general equation to solve this kind of equations is called as point-slope form. The point slope of a line passing through (a, b) with slope of m is (y - b) = m * (x - a). Now substituting the values in the above equation you can obtain the equation of the line in terms of x and y. In case you are given with two points first find the slope of the line which is the...

How To: Find the equation of a perpendicular line easily

In this video the instructor shows how to find out an equation of a perpendicular line. If you need to find the equation of a line passing through the given point and is perpendicular to another line, the first thing you need to do is compute the slope of the given line. Obtain the slope of the equation by writing it in the form of y = mx + b. Now the product of slopes of two perpendicular lines is a negative one. So the slope of our required line will be the negative inverse of the slope of ...

How To: Find the equation of a perpendicular line

In this video the instructor shows how to find out an equation of a perpendicular line. If you need to find the equation of a line passing through the given point and perpendicular to another line, the first thing you need to do is compute the slope of the given line. Obtain the slope of the equation by writing it in the form of y = mx + b. Now the product of slopes of two perpendicular lines is negative one. So the slope of our required line will be negative inverse of the slope of given lin...

How To: Solve an equation using the point slope form

In this video the instructor shows how to derive a general equation for a line in Point-Slope form. The slope of an equation is the ratio of difference of y coordinates to the difference of x coordinates. In other words, slope is the change of y up on change of x. So you have the basic slope equation m = (y2 - y1)/(x2 - x1). When you have fractions you can simplify them by multiplying the denominator to the numerator on both sides. So multiply the equation by (x2-x1) on both sides. This gives...

How To: Figure out the slope of a line

In this video you will learn how to find a slope of a line. The man in the video shows in a practical and easy way, how to do it with formulas. First he teaches how to find slopes of lines containing both negative and positive points. He shows with formulas how to do it. He teaches how to find slopes on a flat line and demonstrates that the slope of it is equal to 0. Next, he teaches a "trick" to help students learn how to identify zero and no slope lines. In the last example, he demonstrates...

How To: Find the slope from a set of points

To find the slope of a line you must have two points and then you must plug in the two points into the slope formula. The slope formula is m= y2-y1 over x2-x1. If the slope is a fraction be sure to reduce to the lowest. Remember if a number is divided into zero it is zero, if zero is divided into the number it is undefined. A calculator can help one remember this. Horizontal lines have slopes and vertical lines do not. Drawing the lines on a graph can help you see the actual slopes and which ...

How To: Derive a point-slope equation from a graph

Do the words point-slope equation send your head into a spin? Well hold on tight, because the mathproblemgenerator.com has your cure? Here you can find a informative video about calculating slope, as well as finding points to substitute into the equation. After watching this video, you will be well prepared to produce a point-slope equation from any graph.

How To: Find the slope of a line given 2 points with fractions

In this video tutorial the instructor shows how to find the slope of a line given two points with fractional values. To do this first name your two points as point 1 with coordinates as x1, y1 and point 2 with coordinates x2, y2. Then substitute the values in the equation of the slope which is slope m = (y2 - y1) / (x2 - x1). Now all you have to do is simply the fraction after substituting the point values. Be careful about the signs while substituting in the formula. Now finally after solvin...

How To: Find a slope of a straight line with: Ax + By + C = 0

In this video the instructor shows how to find the slope of an equation which is in the form Ax + By + C = 0. He says that the formula to find the slope of a line in the above form is slope m = -A/B, where A and B are the numeric constants of the variables x and y in the given equation. He goes on and further shows how to do this with a couple of examples. He shows how to reduce any equation into the general form and how to apply the slope formula then. This video shows how to find the slope ...

How To: Write a slope-intercept equation perpendicular to line

In this tutorial the instructor shows how to write a Slope-intercept equation that is perpendicular to a line and passes through a point. He shows how to do this by solving an example with sample values. He says that the slope of a line perpendicular to the original line is the negative inverse of the slope of original line. Now he writes down the slope value in the general equation y = mx + c, and by substituting the sample value in the equation he obtains the value of the Y-intercept c, thu...

How To: Calculate the slope of a line in algebra

Looking for a guide on how to figure out the slope of a line in basic algebra? From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar Salman Khan's series of free math tutorials, you'll learn how to calcul...

How To: Graph a line using points and slope

Given a point through which a line passes and the value of its slope you can graph the line. To do this first plot the given line. Now taking the slope and using the rise over run method plot a second point. Connect these two points and this gives you the graph of the line. Extend this line further on both sides to get the complete line. The point where this line cuts the x-axes is called the x-intercept and the point where this line cuts the y-axes is called the y-intercept. The important po...

How To: Identify the slope and Y-intercept given y=mx+b

This tutorial shows how to identify the slope and y-intercept given the formula y=mx+b. In this formula m is always going to be the slope and b is always going to be the y-intercept. Therefore if your given a problem like the one displayed in this video: y= 8/3x + 9, the slope would be 8/3 and the y-intercept would be 9. When given these problems all you have to do is match the given numbers to the formula to find the slope and y-intercept.

How To: Find the slope of a line

Learn how to find the slope of a line in this math tutorial. Whether you're doing your math homework or trying to figure out how steep a mountain is, the slope of a line is simple to calculate and has many practical uses.

How To: Find the point slope form of a line equation

This is a mathematical instructional video on finding the point slope form of a line equation. This technique allows you to find the x and y intercepts of a line. The point slope form is (y-y1)=m(x-x1). The instructor tells you what each of the variables represents, and shows an example. He then shows you how to find the slope-intercept form from the point slope form. Finally, he shows you how to graph the line using both of the equations. He shows you how to find the equations with different...

How To: Find the equation of a line

In this video the instructor shows how to find the equation of the line given its slope and a point that lies on it. If the slope of the line is m and the point that lies on it is (x,y) then you can find the equation of the line by substituting the values in the slope-intercept form of an equation which is y = mx + b. Now substitute the values in the above equation and solve it for the value if the y-intercept y. Now you have the slope m and y intercept b. Substitute these values in the gener...

How To: Find the slope given 2 points

This tutorial will show you how to determine the slope of a line if you are given two coordinates on a coordinate plane. You should first find the location of each point on the plane, remembering that the coordinates are in the format of x-axis (or horizontal movement), followed by y-axis (vertical movement). After plotting both these points, you should draw a straight line between these two points and then determine the slope of this line by taking the rise over the run of the line.

How To: Understand positive, negative, zero & undefined slopes

This video explains how to find the sign of slope of a line. The way shown means that you can find whether it is positive or negative without knowing its equation. It uses a simple analogy so that anyone would be able to use this method, even without much math knowledge. Being able to find the slope of a line is very important, as it leads to advanced function and calculus.

How To: Write and graph an equation in slope intercept form

This video teaches us the method to write an equation in slope intercept form and to graph it. The equation of line is y = mx + c. m is the slope and c is the y intercept or the point where it crosses the y axis. Let us find the equation of line if it crosses (8,6) and m=1/2. Substituting the values of x,y and m we get 6=(8)(1/2)+b. Simplifying we get b=2. Substituting the values in the equation of line, we get y = m/2 + 2. Suppose we want to find the x coordinate of a point on the line given...

How To: Graph an equation in point-slope form

This video tells you how to draft an equation in point-slope form. Consider the equation (y+4) = 2(x+7) for example. The formula for the point-slope form is (y-y1) = m(x-x1). To plot the graph you have to identify m the slope, the x intercept x1 and the y intercept y1. In this equation the slope is 2 and (x1,y1). The x intercept according to the formula is -x1 but the given value is +7 so you have to figure out what will give you +7,only -(-7) can give you +7 so the point is -7 and now the y ...

How To: Find if a point lies on a line in point slope form

In this tutorial, the author shows how to determine if a point lies on a given line which is in Point Slope Form. To show the method he takes a sample point order pair and an equation of a line in its point slope form. Now he substitutes the value of the x, y order pair and the equation of the line, and solves the equation on both the sides. If both sides match it means that the point lies on the given line, or else it does not lie on the current line. In this video, the instructor shows how ...

How To: Create a Tangent Line with Excel

Given a function, you can easily find the slope of a tangent line using Microsoft Excel to do the dirty work. That is to say, you can input your x-value, create a couple of formulas, and have Excel calculate the secant value of the tangent slope. This is a fantastic tool for Stewart Calculus sections 2.1 and 2.2.

How To: Convert temperature using a point slope equation

In this video the instructor shows how to convert temperature using the point slope form. In this kind of problem sometimes you are given a temperature in Fahrenheit and its equivalent in Celsius and an other temperature similarly in both Fahrenheit and Celsius. Now you are asked to find a linear equation for these pair of temperatures. To solve these kind of problems assume that the given temperatures represent the point (x, y). Now you have two points. Substitute this value in the point slo...

How To: Solve problems about linear equation

In this video the instructor shows how to write a linear equation. If you need to find the equation of a line that passes through the two given points then you need to find the linear equation of that line. The first step is to find the slope of the line that passes through these points. The slope can be calculated by finding the ratio of the difference of y coordinates to the difference of the x coordinates i.e. the change in y up on the change in x. Now substitute the value of slope and any...

How To: Graph using the slope intercept equation of a line

This video shows us how to draw a linear equation using the slope and intercept technique. First, the narrator explains how to simplify the equation in order to get the slope and intercept out. He then shows how the coefficient of x equals the slope and the constant term tells us the y position of the intercept point. The technique for drawing the final line is plotting the intercept at the right height on the y axis, then running for some distance along the x axis and rising some amount. Thi...

How To: Graph a linear equation using slope and y-intercept

In this video tutorial learn how to graph an equation using the slope and y-intercept. To show how this can be done, the equation 4X-5Y=20 is used as an example. The first step that needs to be done is to convert the equation into the y=mx+b format where m is the slope and b is the intersection of the y-intercept. Simply solve the equation for Y and you get Y=4/5X-4. From this, you will find that the slope, or m, is equal to 4/5 and that b is the coordinates 0 and -4. On the graph, you will w...

How To: Graph a line in slope-intercept form

Graphing a line in slope-intercept form is easy in simple after watching this video. In this math tutorial, you'll be guided step-by-step how to graph a line from an equation in the y=mx+b format. The steps include determining the slope and the y-intercept, plotting the y-intercept on the graph, and finally applying the slope to connect the points. The video guides you through the entire process by illustrating and demonstrating all the necessary steps, thus making graphing a snap.

How To: Derive the equation of a straight line

In this tutorial the instructor shows how to derive a straight line equation. He shows us a process that consists of two steps. In step one he uses the slope formula to obtain the slope of the line which is the ratio of difference of y-coordinates and difference of x-coordinates. Now in the step two he uses the slope he obtained in the first step and equates it two a another slope derivation which uses a generic x, y variables and a real point. Now solving this equation he arrives at the equa...

How To: Find the slope, given a graph

If you watch this video, you will learn what slope is, and how to find it. Slope is defined as rise divided by run, where rise in the increase the Y coordinate and run is the increase in the X coordinate. For example, if you pick two points, you can travel from the left point to the right point. However many points you go is the run. How far up you go is the rise. For example, if your rise is 4 and your run is 2, then you divide 4 by 2 to get your slope, 2. When you're finding the rise, if yo...

How To: Calculate the slope of a linear function

Need some help figuring out how to find the slope of a linear function? See how it's done with this free video algebra lesson. Need help finding the From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts. And, thanks to the Internet, it's easier than ever to follow in their footsteps (or just finish your homework or study for that next big test). With this installment from Internet pedagogical superstar S...

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