Question

give the coordinates of the dilation. 7. (x, y) → (5x, 5y) for p(1, -3), q(-5, -4), r(6, 2)

Explanation:

Step1: Find new coordinates of P

Multiply x - and y - coordinates of P by 5.
$P(1,-3)\to P'(5\times1,5\times(-3)) = P'(5,-15)$

Step2: Find new coordinates of Q

Multiply x - and y - coordinates of Q by 5.
$Q(-5,-4)\to Q'(5\times(-5),5\times(-4))=Q'(-25,-20)$

Step3: Find new coordinates of R

Multiply x - and y - coordinates of R by 5.
$R(6,2)\to R'(5\times6,5\times2)=R'(30,10)$

Answer:

$P'(5,-15),Q'(-25,-20),R'(30,10)$