The distance between points A and B is 10 units. If a has coordinates (4,-6) and B has coordinates (-2,y), determine the value of y.

Question

Please show work and explain.

A.-6
B.-2
C.0
D.1
E.2

This is what I got so far:

10= square root of (4-(-2))^2+(-6-(y))^2

Answer 1

(y+6)^2 + (-6)^2 = 100

y^2 + 12 y + 36 + 36 = 100

y^2 + 12 y - 28 = 0

(y-2)(y+14) = 0

y = 2 or -14

y = 2 is on your list