Question

N'(-10,-15) is the image of N after a dilation with a scale factor of 5/4, centered at the origin. What are the coordinates of N?

1. diemkieu
When the point N is dilated, the coordinate of N changes to N’
The coordinate of point N is (8,12)

### How to determine the coordinate of N

The given parameters are:
N’ = (10,15)
k = 5/4
To calculate the coordinate of N, we make use of:
N * k = N’
So, we have:
N * 5/4 = (10,15)
Multiply both sides by 4
N * 5 = (40,60)
Divide both sides by 5
N = (8,12)
Hence, the coordinate of point N is (8,12)