Answer:
M' = (-1, 3)
Step-by-step explanation:
The two reflections are equivalent to a reflection across the point P = (-2, -1), which becomes the midpoint of the line segment MM'. The coordinates of M' can be found from ...
M' = 2P -M = 2(-2, -1) -(-3, -5) = (-4+3, -2+5)
M' = (-1, 3)
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The formula used comes from the formula for the midpoint:
P = (M +M')/2
2P = M + M' . . . . multiply by 2
M' = 2P - M . . . . .subtract M
