Question

The point S (-1,-3) is reflected across the line y=-2

Answer 1

a reflection of ΔRST across the line y = –x

Step-by-step explanation:

A reflection across the line y = –x transforms point (x, y) into (-y, -x)

After reflecting ΔRST across the line y = –x we get:

R (-1, 3) -> (-3, 1)

S (3,-2) -> (2, -3)

T (1, -4) -> (4, -1)

where S is at the desired vertex

Step-by-step explanation:

Answer 2

Answer: S ' (-1, -1)

======================================================

Step-by-step explanation:

Refer to the diagram below.

The point S(-1,-3) is exactly 1 unit below the line y = -2.

Move up 1 unit to go from S to a point on the line, and directly above S.

Then move another unit up to arrive at S ' (-1, -1) which is the result of reflecting point S(-1,-3) over the line y = -2.

Both S and S' are the same distance away from the mirror line y = -2.