Question

PLEASE HELP ASAP.
A triangle with a vertex at point Y(-3, 7) is dilated by a scale factor represented by the coordinate pair (2/3x, 2/3y ). What is the location of Y'?

Please look at the picture below for the answer choices.

Answer 1

Answer:

$Y' = (-2, 4\frac{2}{3})$

Step-by-step explanation:

Given

$Y = (-3,7)$

$Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)$

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

$Y' = Scale\ Factor * Y$

For, the x coordinates.

$Y' = \frac{2}{3}x$

Where

$x = -3$

$Y' = \frac{2}{3} * -3$

$Y' = \frac{-6}{3}$

$Y = -2$

For the y coordinates:

$Y' = \frac{2}{3}y$

Where

$y = 7$

$Y' = \frac{2}{3} * 7$

$Y' = \frac{14}{3}$

$Y' = 4\frac{2}{3}$

Hence:

$Y' = (-2, 4\frac{2}{3})$