Mathematics
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OpenStudy (anonymous):
What is the equation of the line perpendicular to the line y=4/9x-2 that passes through the point (4,3)?
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OpenStudy (anonymous):
Oh this is easy.
OpenStudy (anonymous):
So, the slope of the equation is 4/9
OpenStudy (anonymous):
Yes
OpenStudy (anonymous):
You simply take the slope and
OpenStudy (anonymous):
Ugh, t\
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OpenStudy (anonymous):
It wont'
OpenStudy (anonymous):
my backspace is broken , sorry
OpenStudy (anonymous):
Okay, so
OpenStudy (anonymous):
You take the slope which is : 4/9
OpenStudy (anonymous):
Take the negative reciprocal of it.
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OpenStudy (anonymous):
Reciprocal means you sflip it.
OpenStudy (anonymous):
so if its 4/9 u flip it to 9/4 than make it a negative and it will be : -9/4
OpenStudy (anonymous):
so now you have -9/4 which is the slope
OpenStudy (anonymous):
now u use the equation y-yz
OpenStudy (anonymous):
UGH
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OpenStudy (anonymous):
So - 9 / 4 x
OpenStudy (anonymous):
y-y1=m(x-x1)
OpenStudy (anonymous):
you have the cordinates (4,3)
OpenStudy (anonymous):
x being 4 and y being 3
OpenStudy (anonymous):
so it will look like
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OpenStudy (anonymous):
y-3=-9/4(x-4)
OpenStudy (anonymous):
distribute -9/4
OpenStudy (anonymous):
-9/4x and 28/4 and you add three to both sides
OpenStudy (anonymous):
which turns out to be
OpenStudy (anonymous):
y = -9/4x + 28/4 + 3
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OpenStudy (anonymous):
28/4 is 7 so
OpenStudy (anonymous):
y = -9/4x + 7 + 3
OpenStudy (anonymous):
y = -9/4x + 10
OpenStudy (anonymous):
get it?
OpenStudy (anonymous):
But that isn't an answer choice on here...
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OpenStudy (anonymous):
let me do it on my paper rq
OpenStudy (anonymous):
Okay thank you iv been stuck on this question for awhile.
OpenStudy (anonymous):
Ooops/
OpenStudy (anonymous):
Okay so -9/4 * -4 is 36/3 which turns out to be 12
OpenStudy (anonymous):
I accidentally said 28/4
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OpenStudy (anonymous):
So we have y = -9/4x + 12 + 3
OpenStudy (anonymous):
y = -9/4x + 15
OpenStudy (anonymous):
Did you get that?
OpenStudy (anonymous):
thank you
OpenStudy (anonymous):
lol np