Line segment AB has endpoints A (−6, 4) and B (−8, 2). Find the coordinates of A′ and B′ after a dilation with a scale factor of 12, centered at the origin.(1 point)

A′ (
) B′ (
)

1 answer

To find the coordinates of A' and B' after a dilation with a scale factor of 12, centered at the origin, we can use the formula for dilation:

A' = (12 * x1, 12 * y1)
B' = (12 * x2, 12 * y2)

Given that A is (-6, 4) and B is (-8, 2), we can substitute the values into the formula:

A' = (12 * -6, 12 * 4)
= (-72, 48)

B' = (12 * -8, 12 * 2)
= (-96, 24)

Therefore, the coordinates of A' are (-72, 48) and the coordinates of B' are (-96, 24).