Question

What are the coordinates of J'?

Answer 1

`F'(-(10)/(3),-(8)/(3))`

or

`F'(-3.33,-2.67)`

Explanation:

we know that

The coordinates of point F are (-5,-4) (see the figure)

In this problem

A dilation with a scale factor 2/3 about the origin is described using the following notation:

`(x,y) ----> ((2)/(3)x,(2)/(3)y)`

so

Applying the rule of the dilation to point F

`F(-5,-4) ----> F'((2)/(3)(-5),(2)/(3)(-4))`

`F(-5,-4) ----> F'(-(10)/(3),-(8)/(3))`

`F(-5,-4) ----> F'(-3.33,-2.67)`