Question

Find the value of x so that the line passing through the points will have the given slope: (x, 6) and (10, -3) with a slope of -3/2.
A. -13
B. 4
C. 13
D. -12

Answer 1

using the slope equation (y2-y1)/(x2-x1) = slope
(-3-6)/(10-x) = -3/2
-9/10-x=-3/2
Cross Multiply
-9*2=-3(10-x)
-18=-30+3x
-18+30=3x
3x=12
Divide by 3 both side
x=4

Answer 2

thank you so much! :)