Answer:
y + 7 = (-14/17)(x - 8)
Step-by-step explanation:
We want the equation of this line in the point-slope form y - k = m(x - h).
We are given two points (8, -7) and (-9, 7), and may arbitrarily choose one of them to serve as the point (h, k) in the point-slope form shown above. Then the other point is represented by (x, y) in the point slope form shown above:
Let (h, k) be 8, -7) and let (x, y) be (-9, 7). Then, y - k = m(x - h) becomes:
7 - (-7) = m(-9 - 8), so that 14 = m(-17), and the slope is thus m = -14/17
The desired equation is then y + 7 = (-14/17)(x - 8) (which is in point-slope form).
Another way to get this result would be to find m in the usual way:
rise 14
m = ------------- = --------- = -14/17 (same as before).
run -17
