Answer:
y = 8/3x - 91/3
*view attached graph*
Explanation:
3x +8y =4
-3x -3x
8y = -3x + 4
/8 /8
y = -3/8x + 1/2
Perpendicular lines have reciprocal slopes. So, the slope of -3/8 will now be 8/3
y = mx + b
y = 8/3x + b
-9 = 8/3(8) + b
-9 = 64/3 + b
3(-9 = 64/3 + b)
-27 = 64 + 3b
-64 -64
-91 = 3b
/3 /3
-91/3 = b
y = 8/3x - 91/3
Check your answer using (8, -9):
y = 8/3x - 91/3
-9 = 8/3(8) - 91/3
-9 = 64/3 - 91/3
-9 = -27/3
-9 = -9
This statement is true.
Hope this helps!