Which equation shows the relation between the vertices of a dilated figure and the vertices of the original figure when the original figure is dilated using a scale factor of 5?

Let's say that the original figure has vertices (x,y) and the dilated figure has vertices (a,b). The scale factor for dilation is 5.

To find the relation between the vertices, we can use the formula:
(a,b) = (5x, 5y)

Therefore, the equation that shows the relation between the vertices of the dilated figure and the original figure with a scale factor of 5 is:
(a,b) = (5x, 5y)