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Question 758217: Write an equation of the line containing the specified point and perpendicular to the indicated line .
(0,-7), 4x+3=y
Thank you
Jennifer
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write an equation of the line containing the specified point and perpendicular to the indicated line .
(0,-7), 4x+3=y
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equation of a line: y=mx+b, m=slope, b=y-intercept
given line:4x+3=y
y=4x+3
slope=4
..
slope of a line perpendicular to given line=-1/4 (negative reciprocal)
equation:
y=-x/4+b
solving for b using coordinates of given point (0,-7)
-7=-0/4+b
b=-7
equation of perpendicular line:
y=-x/4-7
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