With A and its image one can get the dilation factor; That is dilation scale factor = -6/-4 or 9/6 = 3/2 Therefore, to get the image of B we multiply the coordinates of B by the dilation factor; (1,4) 3/2 = (1.5, 6) Thus the image of B = (1.5,6)
To find the image of B, first find the scale factor for the dilation. The scale factor should be greater than 1 because the image of A is farther from the origin than A. Divide the coordinates of the image of A by the coordinates of A: –6/–4 = 3/2 and 9/6 = 3/2, so the scale factor is 3/2. Now, apply the dilation to B by multiplying the coordinates by 3/2 to get ((3/2)(1), (3/2)(4)), or (3/2, 6).
