the diagram shows three points: a=(-1,5) B (2,-1) and c=(0,5) a line L is parallel to ab and passes through c. find the equation of L @Godlovesme
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OpenStudy (anonymous):
so how would i start
OpenStudy (godlovesme):
do u know how to find slope?
OpenStudy (anonymous):
y-y1 over x-x1
OpenStudy (godlovesme):
yea so can u find the slope for line ab ?
OpenStudy (anonymous):
5--1 over -1-2 = 6/-3 = -2
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OpenStudy (anonymous):
is that correct
OpenStudy (godlovesme):
wait i'm checking
OpenStudy (anonymous):
ok sorry
OpenStudy (godlovesme):
it's fine :) and yes u r right @musty123
so we have found the slope now it says the line should pass through point c(0,5)
OpenStudy (godlovesme):
parallel lines have the same slope so the eqn we will create should have a slope of -2
r u familiar with the point-slope form?
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OpenStudy (anonymous):
y-y1=m(x-x1)
OpenStudy (godlovesme):
omg :O u r awesome!!
so when we plug the info we have we get
y-5= -2(x-0)
can u solve for y?
OpenStudy (anonymous):
y-5=-2(x-0)
y-5=-2x
y=3x
OpenStudy (anonymous):
y=-3x
OpenStudy (godlovesme):
did u add -2x+5 ?
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
y=3x
OpenStudy (godlovesme):
umm r those like terms? i mean -2x has a variable and the other one is just a number:/
besides our slope MUST be -2 since the lines r parallel the slopes should be the same