Answer:
y = 2/5x + 11/5
Step-by-step explanation:
midpoint:
[tex] (\frac{x1 + x2}{2}, \frac{y1 + y2}{2} )[/tex]
P(-4 , 8)
Q(0 , -2)
[(-4+0)/2 , (8-2)/2]
=(-4/2 , 6/2)
=(-2 , 3)
gradient:
[tex]m = \frac{y1 - y2}{x1 - x2} [/tex]
m = (8+2)/(-4-0)
= 10/(-4)
= -5/2
= 2/5 (opp. of reciprocal)
equation:
y = mx + c
y = 2/5x + c
3 = 2/5(-2) + c (using coordinate of midpoint)
c = 3 + (-4/5)
= 11/5
y = 2/5x + 11/5
(Correct me if i am wrong)
