Answer:
We plot the dilated point at (8.67, 8)
Explanation:
The original coordinates of the point are
[tex]B(13,12)[/tex]
Dilating the point about the origin by a scale factor of 2/3 means that we multiply the coordinates by 2/3.
Multiplying the coordinates of B by 2/3 gives
[tex](13,12)\times\frac{2}{3}=(13\times\frac{2}{3},12\times\frac{2}{3})[/tex][tex]=(\frac{26}{3},\frac{24}{3})[/tex]
which in decimal form is
[tex](8.67,8)[/tex]
Hence, the coordinates of the dilated point are (8.67, 8).
