SOLUTION: write a slope intercept equation of the line whose graph is perpendicular to 9x+8y=5 and has the y-intercept (0,-7)

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Question 324964: write a slope intercept equation of the line whose graph is perpendicular to 9x+8y=5 and has the y-intercept (0,-7)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of the line by putting it into slope-intercept form, y=mx%2Bb
9x%2B8y=5
8y=-9x%2B5
y=-%289%2F8%29x%2B5%2F8
Perpendicular lines have slopes that are negative reciprocals,
m1%2Am2=-1
-%289%2F8%29%2Am2%2B-1
m2=8%2F9
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The new line will have the equation,
y=%288%2F9%29x%2Bb Use the point (0,-7) to solve for b.
-7=%288%2F9%29%280%29%2Bb
b=-7
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highlight%28y=%288%2F9%29x-7%29
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