so now that we know the slope, we're gonna use that and one of the points in point-slope form, which is y - y1 = m(x - x1), where m is the slope, y1 is the y part of the point, and x1 is the x part of the point
OpenStudy (brucebaner):
okay
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OpenStudy (aripotta):
so what do you get when you do that
OpenStudy (brucebaner):
i dont now plz help me
OpenStudy (aripotta):
let's use (-5,2) as our point. this is point-slope form: y - y1 = m(x -1)
what should we plug in for y1?
OpenStudy (brucebaner):
5
OpenStudy (aripotta):
coordinates are in the form of (x,y) so our y1 would be 2. so far we have
y - 2 = m(x - x1)
what should we plug in for m?
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OpenStudy (brucebaner):
2/5.5
OpenStudy (aripotta):
yes. so y - 2 = 2/5.5(x - x1)
what's the x1?
OpenStudy (brucebaner):
-5
OpenStudy (aripotta):
yep. so our equation in point-slope form is y - 2 = 2/5.5(x + 5)
i gotta go real quick. i'll be back in like 5 min
OpenStudy (aripotta):
when i get back, we'll start putting the equation in standard form
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OpenStudy (brucebaner):
okay
OpenStudy (aripotta):
alrighty. so standard form is Ax + By = C where A can't be a fraction or a negative
OpenStudy (aripotta):
what's our first step?
OpenStudy (brucebaner):
what do you mean
OpenStudy (aripotta):
ok so basically we want to get x and y on the left side of the equation
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OpenStudy (aripotta):
first, we have to distribute the 2/5.5
OpenStudy (aripotta):
do you know how to distribute?
OpenStudy (brucebaner):
wait
OpenStudy (brucebaner):
2/5.5x+1.81
OpenStudy (aripotta):
yea so now we have y - 2 = 2/5.5x + 1.81. what should we do now?
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OpenStudy (brucebaner):
isolate variables to one side?
OpenStudy (aripotta):
yes
OpenStudy (brucebaner):
how do i do that?
OpenStudy (aripotta):
subtract 2/5.5 from both sides
OpenStudy (aripotta):
2/5.5x*
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OpenStudy (brucebaner):
wouldn't that lead me to a negative number?
OpenStudy (aripotta):
yes
OpenStudy (brucebaner):
-2.36
OpenStudy (aripotta):
y - 2 = 2/5.5x + 1.81
once you subtract 2/5.5x from both sides, you get
-2/5.5x + y - 2 = 1.81
now we wanna get rid of the -2, so add 2 to both sides
OpenStudy (brucebaner):
ok
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