Find the equation of the line that is perpendicular to x+2y=-9 and that passes through (-3,-4). Express your answer in standard form.
What is the standard form of the equation of the line that satisfies the given properties?
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jimthompson5910 (jim_thompson5910):
able to get anywhere?
OpenStudy (vshiroky):
I'm pretty lost
I just changed numbers
jimthompson5910 (jim_thompson5910):
First you need to solve x+2y=-9 for y
jimthompson5910 (jim_thompson5910):
x+2y=-9
2y=-9-x
2y = -x - 9
y = -1/2x - 9/2
The slope of that line is ???
OpenStudy (vshiroky):
2
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jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
y = -1/2x - 9/2 is in the form y = mx+b
where
m = -1/2
b = -9/2
OpenStudy (vshiroky):
its a perpendicular line so my lecture said I have to flip the -1/2
jimthompson5910 (jim_thompson5910):
oh i see what you are saying (I was asking about the initial line)
jimthompson5910 (jim_thompson5910):
yes, the perpendicular slope is 2/1 or 2
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jimthompson5910 (jim_thompson5910):
y = mx + b
y = 2x + b .... plug in that perpendicular slope
-4 = 2(-3) + b ... plug in (x,y) = (-3,-4)
now solve for b