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What is an equation of the line that is perpendicular to y - 3 = -4 x+2

What is an equation of the line that is perpendicular to y - 3 = -4 x+2-example-1

1 Answer

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Answer:

y-7=1/4(x+5)

Explanation:

y-3=-4(x+2)

y=4(x+2)+3

y=4x+8+3

y=4x+11

perpendicular line has the opposite reciprocal of the function

y=-1/4 x+b to find the line passes through point (-5,7)

find b when x=-5 and y=7

y=7 or y-7=0

x=-5 or x+5=0

7=-1/4 (-5)+b

b=7+5/4

b=(28+5)/4=33/4

y=-1/4x+33/4

which is equivalent to

y-7=1/4(x+5)

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