SOLUTION: I am having a really hard time with this. Can you help me and explain in detail so I can understand how to do this? Thanks. Find an equation line perpendicular to the line -2x-7

Algebra ->  Linear-equations -> SOLUTION: I am having a really hard time with this. Can you help me and explain in detail so I can understand how to do this? Thanks. Find an equation line perpendicular to the line -2x-7      Log On


   

Question 665933: I am having a really hard time with this. Can you help me and explain in detail so I can understand how to do this? Thanks.
Find an equation line perpendicular to the line -2x-7y=7 having the same y intercept as -9y-4y=-6
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with the line -2x-7y=7
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Put it into slope-intercept form of y=mx+b

Yielding
7y = -2x - 7
Divide both sides by 7 to isolate y
y = -2x%2F7+-+7%2F7 which is the same as y = -2%2F7x - 1
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The slope of this line is highlight%28-2%2F7%29
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(The perpendicular line will need to have the slope of 7%2F2, which is the negative reciprocal.)
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Using, did you mean, -9x-4y=-6, put it into y=mx+b

Yielding
4y = -9x + 6
Divide both sides by 4 to isolate y
y = %28-9x%2F4%29+%2B+%286%2F4%29 which is the same as y = -9%2F4x + 3%2F2
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The y intercept is highlight%283%2F2%29
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(The new line will need to have the y intercept of (3/2))}}}
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Plugging in the slope of 7%2F2 and intercept of 3%2F2,
the new line will be
highlight_green%28y+=+%287%2F2%29x+%2B+%283%2F2%29%29
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Red line: new line y+=+%287%2F2%29x+%2B+%283%2F2%29
Green line: y+=+%28-2%2F7%29x+-+1
Blue line: y+=+%28-9%2F4%29x+%2B+%283%2F2%29
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-Reading Boosters
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