How to find the point-slope form of an equation that passes through two sets of points?

Given two points, say points A and B, we can use the slope formula to find the slop of the line:


If A has coordinates of (w,c) and B has coordinates of (y,z), we can find the slope.
}{y-w} " alt="y-w= \frac{z-x}{y-w} (x-c)" />}{y-w} " />

Now we can say that we can use the point slope form formula:


Now we can substitute m for the slope, and use any points to plug in  and .

Hope this helps! :^)