Given:
Center of dilation: (0, 0)
Scale factor = 9
Let's find the image of point L(-8, 0) after the dilation with the given scale factor.
To find the image of a point after dilation, multiply the coordinates of point by the scale factor of dilation.
We have:
L(-8, 0) ==> (-8 x 9, 0 x 9) ==> L'(-72, 0)
Therefore, the image of the point after a dilation with a scale factor of 9 is:
(-72, 0)
ANSWER:
(-72, 0)