Question

Find the value of r so that the line through (-4, 3) and (r, -3) has a slope of 2/3

Answer 1

-13

Explanation:

If there are two points (x1, y1) and (x2, y2), the slope (m) would be (y2-y1)/(x2-x1). In this problem, the slope would be (-3-3)/(r-(-4)) = -6/(r+4). Since the slope is 2/3, you just set -6/(r+4)=2/3 and solve the equation. You can cross multiply to solve the equation, and you would end up with r = -13.