A dilation has center​ (0,0). Find the image of the point ​L(-8​,​0) for the scale factor 5 .

To find the image of a point under a dilation, we multiply each coordinate of the point by the scale factor.

The image of point L(-8, 0) with a scale factor of 5 is:

(5 * -8, 5 * 0) = (-40, 0)

So, the image of point L(-8, 0) under the dilation with scale factor 5 and center (0, 0) is (-40, 0).