Question

Find the equatio of the line tht contains the point (5,6) and is perpendicualr to the line 4x+2y=2

Answer 1

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Find Slope
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4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2

Slope = -2
Perpendicular slope = 1/2

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Insert slope into the general equation y = mx + c
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y = 1/2x + c

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Find y-intercept 
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y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2 
c = 7/2

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Insert y-intercept into y = 1/2 x + c
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y = 1/2 x + 7/2
2y = x + 7

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Answer: 2y = x + 7
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