Question

A dilation maps (4, 6) to (2, 3).

Under the same dilation, (-1, 3) would be mapped to

Answer 1

1st we will need to find the scale factor
scale factor = image/pre image
scale factor = 2/4

now
(-1,3) --> (-1*2/4 , 3 * 2/4) --> (-1/2,3/2)

Answer 2

Answer: After dilation, the above points would be mapped to

`((-1)/(2),(3)/(2))`

Explanation:

Since we have given that

A dilation maps (4,6) to (2,3) that means

Dilation is a scale factor of
`(1)/(2)`

So, using the same dilation, we have coordinates (-1,3) that would be mapped to is given by

`-(1)/(2)\ and\ (3)/(2)`

So, (-1,3) mapped to
`((-1)/(2),(3)/(2))`

Hence, after dilation, the above points would be mapped to

`((-1)/(2),(3)/(2))`