Which value of r gives the line passing through (3,2) and (r, -4) a slope of 3/2

Mathematics · Middle School · Thu Feb 04 2021

Answered on

We have,

x1 = 3

y1 = 2

x2 = r

y2 = -4

Slope, m = 3/2 

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

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

3/2 = -6/r-3

3r - 9 = -12

3r = -12 + 9

3r = -3

r = -3/3

r = -1

 

So, value of r is -1