SOLUTION:  Give the slope-intercept form of the equation of the line that is perpendicular to –5x + 9y = 2 and contains P(–8, 1).

Algebra ->  Linear-equations -> SOLUTION:  Give the slope-intercept form of the equation of the line that is perpendicular to –5x + 9y = 2 and contains P(–8, 1).       Log On


   

Question 675820:  Give the slope-intercept form of the equation of the line that is perpendicular to –5x + 9y = 2 and contains P(–8, 1).
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Perpendicular lines have a negative inverse slope.
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-5x+9y=2
9y = 5x + 2
y = %285%2F9%29x+%2B+%282%2F9%29
The slope is 5%2F9
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The slope of the perpendicular line will be -9%2F5
Using the point (-8,1),
y - 1 = -9%2F5(x--8)
y - 1 = -9%2F5(x+8)
y - 1 = %28-9%2F5%29x+-+%289%2F5%29%288%29
y = %28-9%2F5%29x+-+72%2F5+%2B+1
y = %28-9%2F5%29x+-+72%2F5+%2B+1%285%2F5%29
y = %28-9%2F5%29x+-+72%2F5+%2B+5%2F5
highlight_green%28y+=+%28-9%2F5%29x+-+67%2F5%29
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