Show that the statement is true. if gh has endpoints g(−2, 1) and h(4, −1), then the midpoint m of gh lies on the line y = −x + 1.
the midpoint m is ( , ). the midpoint does not lie or lies on the line y = −x + 1 since its coordinates satisfy or do not satisfy the equation.

Midpoint = (x1 + x2) / 2, (y1 + y2)/2
(-2,1)x1 = -2 and y1 = 1
(4,-1)...x2 = 4 and y2 = -1
time to sub
m = (-2 + 4) / 2 , (1 + (-1) / 2
m = (2/2), (0/2)
m = (1,0) <==

y = -x + 1(1,0)...x = 1 and y = 0
0 = -1 + 1
0 = 0 (correct)

so the midpoint  M (1,0) lies on the line since its coordinates satisfy the equation <===

Ugucycucucuvuvjvxyxtxu