find the value of r

Question

find the value of r so that the line that passes through (5,-2) and (r,4)has a slope of 3/2

Answer 1

the underlying value that you want to use here is

m = (y2 - y1) / (x2 - x1)

for this equation that becomes

3/2 = (4 - -2) / (r - 5)

3/2 = 6 / (r - 5)

3/2(r - 5) = 6

r - 5 = 4

r = 9

Answer 2

m = (-2 - 4) / (5 - r) = 3/2

Now solve for r and finish from here.