Mathematics
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OpenStudy (anonymous):
What is the slope-intercept form of the function that contains the point (3, 4) and has a slope of 2?
y = 2 x +?
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Mehek (mehek14):
plug in the ordered pair
OpenStudy (anonymous):
@iambatman
OpenStudy (anonymous):
?
Mehek (mehek14):
plug in 3 for x and 4 for y
Mehek (mehek14):
substitute the equation with the ordered pair
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OpenStudy (anonymous):
ohh ok
Mehek (mehek14):
so your equation becomes
4 = 2(3) + b
OpenStudy (anonymous):
y=4x3?
Mehek (mehek14):
no the slope stays the same
4 is in the y's place and 3 is in the x
OpenStudy (anonymous):
oh ok
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Mehek (mehek14):
like this
4 = 2(3) + b
Mehek (mehek14):
b is what you are looking for
OpenStudy (anonymous):
y=2(3)+b
OpenStudy (amorfide):
point slope form is
\[y-y _{1}=m(x-x _{1})\]
where m is the slope
(x1,y1)=(3,4)
Mehek (mehek14):
@thebro55 no I showed you the equation looks like this:
4 = 2(3) + b
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OpenStudy (anonymous):
ok
Mehek (mehek14):
now solve it
OpenStudy (anonymous):
4=6?
Mehek (mehek14):
4 = 6 + b
you need to isolate b
OpenStudy (anonymous):
how?
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Mehek (mehek14):
move 6 to the other side
OpenStudy (anonymous):
4=6+6
Mehek (mehek14):
no you subtract 6 on both sides
OpenStudy (anonymous):
2?
Mehek (mehek14):
4 - 6 = 6 - 6 + b
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OpenStudy (anonymous):
-2=0
Mehek (mehek14):
so b = -2
OpenStudy (anonymous):
ohh. so the answer is: y=2x+-2?
OpenStudy (anonymous):
@Mehek14
Mehek (mehek14):
leave out the + sign
y = 2x - 2
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OpenStudy (anonymous):
thx
Mehek (mehek14):
yw