Answer:
A. y=-1/3x+10
Step-by-step explanation:
Perpendicular gradients(slopes) are negative reciprocals so
m=-1/3 then use the point (6,8) to find the equation of the line
y=mx+b
8=(-1/3)(6)+b
8=-2+b
b=10
y=-1/3x+10
(2x+6)/10 = (x+6)/8
10(x+6) = 8(2x+6)
10x + 60 = 16x + 48
6x = 12
x = 2
so
AE = 2(2) +6
AE = 4 + 6
AE = 10
8x-2=-9+7x
Add 2 to both sides
8x=-7+7x
Subtract 7x from both sides
x=-7
