Answer:
e
Step-by-step explanation:
the coordinates of the midpoint are the average of the coordinates of the endpoints.
let coordinates of C = (x, y ) , then with A = (- 1, 2 ) calculate the average and equate to the coordinates of B (3, 2 )
[tex]\frac{x-1}{2}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )
x - 1 = 6 ( add 1 to both sides )
x = 7
and
[tex]\frac{y+2}{2}[/tex] = 2 ( multiply both sides by 2 )
y + 2 = 4 ( subtract 2 from both sides )
y = 2
coordinates of C = (7, 2 )
