SOLUTION: What is the equation of a line that is perpendicular to y=-4x-2 and passes through the point (-8,3)?

Question 397627: What is the equation of a line that is perpendicular to y=-4x-2 and passes through the point (-8,3)?
Found 2 solutions by Fombitz, robertb:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Perpendicular lines have slopes that are negative reciprocals,

So then,

Use the point (-8,3) to solve for .

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Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The line must have the form y = x/4 + c, where c is unknown. Then 3 = -8/4 + c
==> 3 = -2 + c, or c = 5.
Therefore the equation of the line is y = x/4 + 5.
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