What does y mx b represent

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. If this value is negative for a line, then the line has a negative slope. The m in the formula is the slope. Vinay K. Nov 26, Explanation: A linear equation an equation with highest power on variable as 1 , graphically represents a straight line on 2-D plane graph.

The given equation is written in slope - intercept form. So let's plot some more points here and I'm just gonna keep increasing x by one. So if you increase x by one, so we could write that our delta x, our change in x, delta Greek letter, this triangle is a Greek letter, delta, represents change in. Change in x here is one. We just increased x by one, what's gonna be our corresponding change in y?

What's going to be our change in y? So let's see, when x is equal to one, we have two times one, plus three is going to be five. So our change in y is going to be two. Let's do that again. Let's increase our x by one. Change in x is equal to one. So then if we're gonna increase by one, we're gonna go from x equals one to x equals two. Well what's our corresponding change in y? Well when x is equal to two, two times two is four, plus three is seven.

Well our change in y, our change in y is equal to two. Went from five- when x went from one to two, y went from five to seven. So for every one that we increase x, y is increasing by two. So for this linear equation, our change in y over change in x is always going to be, our change in y is two when our change in x is one, or it's equal to two, or we could say that our slope is equal to two.

Well let's just graph this to make sure that we understand this. So when x equals one, y is equal to five. And actually we're gonna have to graph five up here. So when x is equal to one, y is equal to, and actually this is a little bit higher, this, let me clean this up a little bit. So this one would be, erase that a little bit. Just like that. Now move the rightmost slider for b and let it settle on, say, 5. It is therefore a straight horizontal line through 5 on the y axis.

Play with different values of b and observe the result. The value of m is 0. This is a simple linear equation and so is a straight line whose slope is 0.