If gh has endpoints g(-8, 1) and h(4, 5), then the midpoint m of gh lies on the line y=-x+1

Step-by-step explanation:

If GH has a midpoint M(x, y) then we have to determine whether midpoint M lies on the given line y = -x + 1

Since coordinates of G and H are (-8, 1) and (4, 5) so coordinates of the midpoint M will be

x = = -2

and y coordinates of point M will be

y = = 3

Therefore point M is (-2, 3).

Now we plug in the values of x and y in the given equation.

3 = -(-2) + 1

3 = 3

Hence it is proved that the midpoint M of segment GH will lie on the line y = -x + 1

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