Question

Which of the following points are more than 5 vertical units away from the point left-parenthesis 0 comma negative 2 right-parenthesis? Choose all that apply. (2 points) left-parenthesis 6 comma negative 2 right-parenthesis left-parenthesis negative 8 comma negative 2 right-parenthesis left-parenthesis 0 comma negative 8 right-parenthesis left-parenthesis 0 comma 4 right-parenthesis

Answer 1

right-parenthesis left-parenthesis 0 comma negative 8

Answer 2

Given point is (0, -2).

Given options are A(6, -2); B(-8, -2); C(0, -8); D(0, 4).

It says to select the options that are more than five units vertically away from the given point.

"Vertically away" means the x-coordinate would be same and y-coordinate would be shifted up or down.

Since it says to shift more than five units vertically away, so we must have :-

y > -2 + 5 or y < -2 - 5.

Therefore, y > 3 or y < -7.

Hence, option C and D are correct i.e. (0, -8) and (0, 4).