Write the rule for finding the coordinates of a point that has undergone a dilation (with the origin as the point of dilation). use this rule to find the coordinates of this point’s dilation from the origin, with a scale factor of : (4, 10).

The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)
For the point P(4,10)
the image is therefore
P(4,10)->P'(4k,10k)     [ since k is not numerically given ]
When k is known numerically, substitute k into P' to find the numerical coordinates.