First, find the slope by using the formula : (y2 - y1)/(x2 - x1)
I used the points (-15, -88) and (-9, -34).
y2 - y1 = -34 - (-88) = -34 + 88 = 54 = 9
x2 - x1 -9 - (-15) -9 + 15 6
Slope = 9
All the possible answers to choose from are written in point-slope form. So, you can eliminate answers B and D because they have the slope as 1/9, which is incorrect. Now, all you have to do is compare A and C and see which has the x- and y-coordinates plugged in correctly.
If you plug in one of the given points, (-27, -196), into the point-slope formula, you will get the answer A.
y - y1 = m(x - x1)
y - (-196) = 9[x - (-27)]
y + 196 = 9 (x + 27)
The answer is A.
