Question

PLEASE HELP!!!!!!
Geometry

A segment has endpoints M(6,15) and N(-3,9). The image of the segment, after a dilation centered at the origin, has endpoints M'(3,7.5) and N'(-1.5,4.5). If the scale factor is equal to 4x+1, what is the value of x?

-1/8
-1/4
1/2
1/3

Answer 1

first lets find the dilation factor:
we divide x coordinate of old point by x coordinate of new point. 6/3=2.
Thus the scale factor is 2.
2=4x+1
1=4x
x=1/4

Answer 2

then we just solve the equation and get x

Answer 3

Thank you!