SOLUTION: What is the equation of a line perpendicular to the line y=2x

SOLUTION: What is the equation of a line perpendicular to the line y=2x - 4 and going through the point (-1,3).

Question 530434: What is the equation of a line perpendicular to the line y=2x - 4 and going through the point (-1,3).
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
y = 2x-4
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A line perpendicular to this line will have a slope that is the inverse reciprocal of 2, which is -1/2.
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y = -1/2x + b
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To determine 'b', use the point you want to go through.
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3 = -1/2(-1) + b
3 = 1/2 + b
b = 2 1/2 = 5/2
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A graph usually helps. The red line is y = 2x-4; the green line is y = -1/2x + 5/2.
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