Question

What is the reflection of the point(-3,1) in the line x=-2?

Answer 1

Step-by-step explanation:

You really need to draw this out to get a real feel for the answer and what is happening.

Think of y=2 as a horizontal mirror line. Cutting through the y-axis at 2.

The point (3,-1) will reflect from below the x-axis over the mirror line and end up, above it, keeping the x-coordinate of 3.

The y-coordinate needs some working out , how far is it from the mirror line? 3 units up. So the reflected point needs to be 3 units above the mirror line. The y-coordinate of the mirror line is 2. so 3 up from that is 5.

Reflected point is at (3,5)

I hope this answer is helpful for you