Answer:
r = - 30
Step-by-step explanation:
Givens
(-3,r ) (7 - 6)
y2 = - 6
y1 = r
x2 = 7
x1 = -3
m = 2 2/5 2.4
m= (y2 - y1) / (x2 - x1)
Solution
2.4 = (-6 - r)/(7 - -3) Simplify
2.4 = (-6 - r ) / (7 + 3)
2.4 = (-6 - r) / 10 Multiply both sides by 10
2.4*10 = - 6 - r Combine
24 = - 6 - r Add 6 to both sides
24 + 6 = - r Combine
30 = - r Multiply both sides by - 1
-30 = r
r = - 30
Check
m = (-6 - - 30 ) / 10
m = (-6 + 30)/10
m = ( 24) / 10
m = 2.4 which it should
