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

`Y' = (-2, 4(2)/(3))`

Explanation:

Given

`Y = (-3,7)`

`Scale\ Factor = ((2)/(3)x,(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' = (2)/(3)x`

Where

`x = -3`

`Y' = (2)/(3) * -3`

`Y' = (-6)/(3)`

`Y = -2`

For the y coordinates:

`Y' = (2)/(3)y`

Where

`y = 7`

`Y' = (2)/(3) * 7`

`Y' = (14)/(3)`

`Y' = 4(2)/(3)`

Hence:

`Y' = (-2, 4(2)/(3))`