Question

a dilation maps (3,-5) to (27,-45). what are the coordinates of the image of (-4,10) under the same dilation? Please explain how to work this problem.

Answer 1

well if we dilate by a factor of n, then the point (a,b) maps to (an,bn)

Answer 2

since 3n = 27, or -5n = -45

what is the dilation factor n?

Answer 3

9 and 9

Answer 4

because n = 9 each time, this means you're multiplying each coordinate by 9 to go from (3,-5) to (27,-45)

you would apply that same rule to (-4,10)