The coordinates of point L are (12, 0).
Step-by-step explanation:
Step 1:
In order to determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
K is the point before scaling and L is the point after scaling. K and L lie on the same line.
N is the point before scaling and M is the point after scaling. They both lie on the same line.
Step 2:
The scale factor for M [tex]= \frac{-12}{-4} = 3.[/tex]
So to determine the coordinates of point L, we multiply point K's coordinates with the scale factor.
Coordinates of point L [tex]= 3 (3, 0) = (3(3), 3(0)) = (12,0).[/tex]
So the coordinates of point L are (12, 0).
