find the equation of a line perpendicular to 4x−y=4 that contains the point (−2,−2).

y = -1/4x -5/2

Step-by-step explanation:

4x - y = 4

(rearrange equation)

y = 4x - 4

two lines are perpendicular when both there gradients are timesed together and equal -1

so 4 × ? = -1

so ? = -1/4

so the equation looks a little like this

y = -1/4x + c

but we're not done yet, we need it to find the points (-2,-2), so we input the x - coordinate And y coordinate into the equation

-2 = -1/4(-2) + c

-2 = 1/2 + c

-5/2 = c

so the full equation is...

y = -1/4x -5/2

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step-by-step explanation: