Answer:
y = 3/4x + 1/4
*view attached graph*
Explanation:
y= -4/3x-2
Perpendicular lines have reciprocal slopes. So, the slope of -4/3 will now be 3/4
y = mx + b
y = 3/4x + b
4 = 3/4(5) + b
4 = 15/4 + b
4(4 = 15/4 + b)
16 = 15 + 4b
-15 -15
1 = 4b
/4 /4
1/4 = b
y = 3/4x + 1/4
Check your answer using (5, 4):
y = 3/4x + 1/4
4 = 3/4(5) + 1/4
4 = 15/4 + 1/4
4 = 16/4
4 = 4
This statement is true.
Hope this helps!