What is the scale factor of a triangle with a vertex of a(–6, 4) that has been dilated with a center of dilation at the origin so the vertex of its image is es025-1.jpg(–24, 16)?

A(-6,4)=(xa,ya)→xa=-6, ya=4
A'(-24,16)=(xa',ya')→xa'=-24, ya'=16
Scale factor: f 

xa'=f*xa→-24=f*(-6)
Solving for f:
-24/(-6)=f*(-6)/(-6)
4=f
f=4

or:
ya'=f*ya→16=f*4
Solving for f:
16/4=f*4/4
4=f
f=4

The scale factor of the triangle is 4