Current timeTotal duration Google Classroom Facebook Twitter. Video transcript - [Instructor] We've got the equation Y plus two is equal to negative two, times X minus three. And, what I wanna do is figure out what is the slope of the line that this equation describes? And there's a couple of ways that you can approach it. What my brain wants to do is well, I know a few forms where it's easy to pick out the slope. For example, if I can manipulate that equation to be in the form Y is equal to MX plus B, well then I know that this M here, the coefficient on the X term, well that's going to be my slope.
And B is going to be my Y intercept, we cover that in many other videos. Another option is to get into point-slope form.
So the general framework or the general template for point-slope form is, if I have an equation of the form Y minus Y1 is equal to M times X minus X1, well then I immediately know that the line that this equation describes is going to have a slope of M once again.
And here the Y intercept doesn't jump out at you. Let me make sure you can read this over here. The Y intercept doesn't jump out at you, but you know a point that is on this line. In particular, you know that the point X1, Y1 is going to be on this line. X1, Y1. So let's look at our original example. So it might immediately jump out at you that this is actually in point-slope form. Here, 'm' gives the slope and 'b' gives the y-intercept of the equation.
Example 1: Find the equation of the line whose graph contains the points 1,3 and 3,7. Example 2: Find the slope-intercept form of a line with slope -2 and which passes through the point It is called as the slope intercept form.
For two coordinates, x 1 ,y 1 and x 2 , y 2 , the slope of a line is the ratio of difference between the difference between the y coordinates and the difference between x coordinates, also known as the rise over the run.
Here 'm' is the slope of the line and 'b' is the point at which the line intercepts the y - axis. A line for which the slope in negative is said to move from left to right in a graph. The slope of a line is found by the ration of difference in y-coordinates to the difference in x-coordinates. Edit this Article. We use cookies to make wikiHow great.
By using our site, you agree to our cookie policy. Cookie Settings. Learn why people trust wikiHow. Download Article Explore this Article methods. Related Articles. Article Summary. Method 1. Use slope to determine how steep, and in what direction upward or downward , a line goes. Finding the slope of a line is easy, as long as you have or can setup a linear equation. Find the number in front of the x, usually written as "m," to determine slope.
That is your slope! Note that this number, m , is always multiplied by the variable, in this case an "x. Reorganize the equation so one variable is isolated if the slope isn't apparent.
You can add, subtract, multiply, and more to isolate a variable, usually the "y. Method 2. Use a graph and two points to find slope without the equation handy.
If you've got a graph and a line, but no equation, you can still find the slope with ease. While finding the slope, keep in mind the following information to help you check if you're on the right track: Positive slopes go higher the further right you go.
Negative slopes go lower the further right you go. Bigger slopes are steeper lines. Small slopes are always more gradual. Perfectly horizontal lines have a slope of zero. Perfectly vertical lines do not have a slope at all.
Their slope is "undefined. Find two points, putting them in simple x,y form. Use the graph or the test question to find the x and y coordinates of two points on the graph. They can be any two points that the line crosses through. For an example, assume that the line in this method goes through 2,4 and 6,6.
Each x coordinate on a line has an associated y coordinate. Label your points x 1 , y 1 , x 2 , y 2 , keeping each point with its pair.
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