Answer:
y=-4x+12
Step-by-step explanation:
To find the slope, convert the standard form of the equation into slope intercept form, y=mx+b.
4y-x=8
4y=
8+x
y=1/4x+2
The slope is 1/4 and the slope of the new line will be -4 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation.
(y--4)=-4(x-4)
y+4=-4x+16
y=-4x+12
