Question

Given A(-2,3), B(m, 5) and C(-1,0). Find the possiblevalues of m if AB = 2AC.​

Answer 1

Answer:

m = 4 or m = -8

Step-by-step explanation:

length between 2 points = √(difference of x)² + (difference of y)²

AB² = (m - (-2))² + (5 - 3)² = (m + 2)² + 4 = m² + 4m +8

AC² = ((-1) - (-2))² + (0 - 3)² = 10

AB² = 4AC²

m² + 4m +8 = 40

m² + 4m - 32 = 0

(m - 4) (m + 8) = 0

m = 4 or m = -8