Write an equation of the line perpendicular to the line 5x-2y=-3 and passing through the point (2,-1)
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OpenStudy (anonymous):
It's an open question
OpenStudy (anonymous):
first you would want to write 5x-2y=-3 in the form of y=mx+c
this will help you to find the m (sope) and we know a perpendicular line to another will have - inverse fraction for their slope.
then re-write a new y=mx+c with the new perpendicular slope then substitute x as 2 and y as -1
OpenStudy (anonymous):
mx+c or mx+b
it is still the same because we now c or b is just a number which is the y intercept
OpenStudy (anonymous):
I got 2x-5y-1=0
OpenStudy (anonymous):
incorrect
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OpenStudy (anonymous):
rewrite 5x-2y=-3 in the form y=mx+b
OpenStudy (anonymous):
oh, ok
OpenStudy (anonymous):
2y=5x+3
OpenStudy (anonymous):
now divide everything by 2
because we're making y the subject of the formula
OpenStudy (anonymous):
5x+3=8
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OpenStudy (anonymous):
8/2=4
OpenStudy (anonymous):
2y=4
OpenStudy (anonymous):
2/2 crosses out; 4/2=2
OpenStudy (anonymous):
y=2
OpenStudy (anonymous):
nope
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OpenStudy (anonymous):
2y=5x+3
dividing everything by two will give
y= (5/2)x + 3/2