Find the point-slope equation of the line that passes through the given points. (0,8), (-1,10)

So first we need to find the slope. The equation find slope is:



Either of the points could be denoted as '1' or '2',

Let's plug in the point (0, 8) as '1' and (-1, 10) as '2':



So we know that the slope, m, is equal to -2.

The point-slope equation is:



where m is the slope and  and  are the point. So since we have two points here, we can pick one to use for the equation. Let's use (-1, 10):



**We need to make sure that we have accounted for all of the signs. Remember that two negatives equal a positive:



And there is your point slope form of the line that passes through the two points.