Respuesta :
Answer:
Step-by-step explanation:
Perpendicular lines will have negative inverse slopes of each other. In this case, the slope of the known line is -8. The negative of -8 or -(-8) is just +8. The inverse of +8 is +1/8.
Now we know the slope of the line perpendicular to y=-8x+2 and we are given the point (-4,1).
All linear lines have the form of y=mx+b and we know the slope.
y=1/8x+b
We plug in (-4,1) into the equation:
1=1/8 * -4 +
1=-1/2+b
b=3/2
We now have the b constant and can simply just write the equation:
y=1/8x+3/2
