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Question 757398: Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form.
P(−4, 1), y + 2x = −15
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write an equation of the line that passes through the given point and is perpendicular to the given line. Your answer should be written in slope-intercept form.
P(−4, 1), y + 2x = −15
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Equation of a line: y=mx+b, m=slope, b=y-intercept
y + 2x = −15
y= -2x−15
slope of given line=-2
slope of perpendicular line=1/2 (negative reciprocal)
equation: y=x/2+b
solving for b using coordinates of given point(-4,1) that is on the line
1=-4/2+b
b=3
equation of perpendicular line:
y=x/2+3
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