Line AB contains point A(−4, 1) and point B (−1, 3). Find the coordinates of A′ and B′ after a dilation with a scale factor of 2 with a center point of dilation at the origin.(1 point) Responses A′ (−8, 2) and B′ (2, −6) upper A prime left parenthesis negative 8 comma 2 right parenthesis and upper B prime left parenthesis 2 comma negative 6 right parenthesis A′ (8, −2) and B′ (2, −6) upper A prime left parenthesis 8 comma negative 2 right parenthesis and upper B prime left parenthesis 2 comma negative 6 right parenthesis A′ (−8, 2) and B′ (−2, 6) upper a prime left parenthesis negative 8 comma 2 right parenthesis and upper b prime left parenthesis negative 2 comma 6 right parenthesis A′ (−5, −2) and B′ (−2, 6)
To find the coordinates of A' and B' after a dilation with a scale factor of 2 with a center point of dilation at the origin, we can use the formula:
A' = (2 * xA, 2 * yA)
B' = (2 * xB, 2 * yB)
Using the given coordinates of A and B, we can substitute them into the formula:
A' = (2 * (-4), 2 * 1) = (-8, 2)
B' = (2 * (-1), 2 * 3) = (-2, 6)
Therefore, the correct answer is A' (-8, 2) and B' (-2, 6).