Question

Given a point A(-3,-1), it is dilated by some scale

Answer 1

Answer:

$B' = (-3, -15)$

Step-by-step explanation:

Given

$A = (-3,-1)$

$A' = (-9,-3)$

$B = (-1,-5)$

Required

Determine the coordinates of B'

Since A' is the image of A; we need to first calculate the scale factor using

$A' = A * Scale\ factor$

Make Scale Factor the subject

$Scale\ Factor = \frac{A'}{A}$

Substitute values for A' and A

$Scale\ Factor = \frac{(-9,-3)}{(-3, -1)}$

Factorize the numerator

$Scale\ Factor = \frac{3 * (-3,-1)}{(-3, -1)}$

$Scale\ Factor = \frac{3 * 1}{1}$

$Scale\ Factor = 3$

The coordinates of B' is then calculated as follows:

$B' = B * Scale\ Factor$

Substitute values for B and Scale Factor

$B' = (-1,-5) * 3$

$B' = (-3, -15)$