Question

What is the coordinate of A after a reflection across the given line?

Answer 1

(-3, 3)

Explanation:

The equation of line AB is

`y=-(1)/(3)x+2`

Since the y-intercept of the given line is (0,2), the line AB and the given line intersect at (0,2).

By definition, (0,2) is the midpoint of AA', where A' is the image of A after the reflection.

So, the coordinates of A' are (-3, 3)