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The required dilation factor is 5
Dilation is a way of increasing or decreasing the size of an object using a scale factor.
Given the given equation of a line -16x+8y=8 dilated by scale factor centered at the origin. If the image of the line after dilation is given by -16x +8y=40, the scale factor of dilation will be;
k = 40/8
k = 5
Hence the required dilation factor is 5
Learn more on dilation here: https://brainly.com/question/10253650