Question

Find the value of r so the line that passes through each pair of points has the given slope.

(-4,3), (r,5), m = 1/4

Answer 1

m = (y2 - y1) / (x2 - x1)
1/4 = (5-3) / (r +4)
1/4 = 2/ (r + 4)
Cross multiply
2*4 = r + 4
8 = r + 4
Subtract 4 from both sides
4 = r

CHECK
(-4,3)(4,5)
m = (5-3)/(4--4) = 2/8 = 1/4