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OpenStudy (anonymous):
What is the equation of the line that passes through the points (2, -4) and (0, 8)?
y= 6x+ 8
y= 2x+ 8
y= -6x+ 8
y= -2x+ 8
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OpenStudy (anonymous):
First you want to find the slope of the line between the two points. You can do this by finding the change in x and y between the two points.
OpenStudy (anonymous):
Can you tell me what the changes in x and y are?
OpenStudy (anonymous):
i think it y= 2x+ 8
OpenStudy (anonymous):
Or you could just plug in the points xD Yeah that sounds right.
OpenStudy (anonymous):
Oh nvm, it isn't that
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OpenStudy (anonymous):
The slope is -6 because y changes by +12, while x changes by -2. (12/-2)=-6
OpenStudy (anonymous):
why the slope is -2 ?
OpenStudy (anonymous):
@Cha1234
OpenStudy (anonymous):
It shouldn't be -2, it should be -6
OpenStudy (anonymous):
AAAH! i'm confused
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OpenStudy (anonymous):
Slope is equal to the change in y over the change in x.
OpenStudy (anonymous):
Y changes by +12, while x changes by -2
OpenStudy (anonymous):
That gives us 12/-2=-6
OpenStudy (nurali):
\[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]
x1=2
x2=0
y1=-4
y2=8
\[m=\frac{ 8+4 }{ 0-2 }\]
\[m=\frac{ 12 }{ -2 }\]
\[m=-6\]
\[(y-y _{1})=m(x-x _{1})\]
\[y+4=-6(x-2)\]
\[y+4=-6x+12\]
\[y=-6x+ 8\]
OpenStudy (anonymous):
who's right?
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OpenStudy (anonymous):
I'm telling you it's m=-6...
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