SOLUTION: Write the standard form of the equation of the line described. Through; (-4,-5) perp to y=-4/7x-2

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Question 1010202: Write the standard form of the equation of the line described.
Through; (-4,-5) perp to y=-4/7x-2
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Write the standard form of the equation of the line described.
Through; (-4,-5) perp to y=expr%28-4%2F7%29x-2
Take the -4%2F7
Change its sign. Get 4%2F7
Invert it. Get 7%2F4
Write y=expr%287%2F4%29x%2Bb
Substitute x=-4 and y=-5
-5=expr%287%2F4%29%28-4%29%2Bb
-5=-7+b
2=b

Substitute 12 for b in y=expr%287%2F4%29x%2Bb, get y=expr%287%2F4%29x%2B2.

If we draw the graphs of each, we get what is below.  The red line is 
the graph of the given equation, and the green one is the line through 
(-4,-5) which is perpendicular to it.



Edwin