Answer:
B [tex]-\frac{5}{4}[/tex]
Step-by-step explanation:
8x - 10y = - 80
If you put in slope intercept for m:
y = mx + b
m = slope
b = y intercept
You can find the perpendicular line and its slope.
8x - 10y = - 80 Add 80 to each side
8x + 80 - 10y = -80 + 80
8x + 80 - 10y = 0 Add 10y to each side
8x + 80 - 10y + 10y = 0 + 10y
8x + 80 = 10y Divide each side by 10
(8x + 80)/10 = 10y/10
(8x + 80)/10 = y
8x/10 + 80/10 = y
(4/5)x + 8 = y
Our slope is 4/5
A perpendicular slope is the negative reciprocal of any other slope.
So the negative reciprocal of [tex]\frac{4}{5}[/tex] is [tex]-\frac{5}{4}[/tex]
