Find the equation of the line perpendicular to the line 4y-x=8 that passes through the points (4,-4)

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

Hello there,

Find the equation of the line perpendicular to the line 4y-x=8 that passes through the points (4,-4)

y=-4x+12

examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

step-by-step explanation: