Answer:
[tex]F'(-\frac{10}{3},-\frac{8}{3})[/tex]
or
[tex]F'(-3.33,-2.67)[/tex]
Step-by-step 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:
[tex](x,y) ----> (\frac{2}{3}x,\frac{2}{3}y)[/tex]
so
Applying the rule of the dilation to point F
[tex]F(-5,-4) ----> F'(\frac{2}{3}(-5),\frac{2}{3}(-4))[/tex]
[tex]F(-5,-4) ----> F'(-\frac{10}{3},-\frac{8}{3})[/tex]
[tex]F(-5,-4) ----> F'(-3.33,-2.67)[/tex]
