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Question 742133: The slope of a line is –4 and its y-intercept is (0, 4). What is the equation of the line that is perpendicular to the first line and passes through (–8, 2)?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! The slope of a line is –4 and its y-intercept is (0, 4). What is the equation of the line that is perpendicular to the first line and passes through (–8, 2)?
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equation of a line: y=mx+b, m=slope, b=y-intercept
slope of perpendicular line=1/4 (negative reciprocal of slope of given line)
Equation of perpendicular line: y=x/4+b
solve for b using coordinates of given point (-8,2) on the line.
2=-8/4+b
b=4
equation: y=x/4+4
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