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OpenStudy (anonymous):
Complete the equation of the graphed linear function in point-slope form.
y – 8 =[ ](x –[ ])
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OpenStudy (anonymous):
Last question @iGreen.
OpenStudy (anonymous):
\(y - y_1 = m(x - x_1)\)
Where y1 is the y-value of the point, x1 is the x-value of the point, and 'm' is the slope.
OpenStudy (anonymous):
It gives you the point (2, 8).
So x1 here is 2, and y1 here is 8. Can you plug that into point-slope form?
\(y - y_1 = m(x - x_1)\)
OpenStudy (anonymous):
Can you do it?
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OpenStudy (anonymous):
y= 2 x=6?
OpenStudy (anonymous):
x1 = 2, y1 = 8
OpenStudy (anonymous):
oh woops XP
OpenStudy (anonymous):
Try again.
OpenStudy (anonymous):
(6,0)
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OpenStudy (anonymous):
It gives you the point (2, 8).
So x1 here is 2, and y1 here is 8.
\(y - y_1 = m(x - x_1)\)
\(y - 8 = m(x - 2)\)
Now let's find the slope..
OpenStudy (anonymous):
Take any two points:
(6, 0) (2, 8)
Plug them in:
\(m = \dfrac{y_2-y_1}{x_2-x_1}\)
\(m = \dfrac{8-0}{2-6}\)
Simplify
OpenStudy (anonymous):
(8,-4)
OpenStudy (anonymous):
Yes, so the slope is -8/4, simplify it.
OpenStudy (anonymous):
Just divide -8 / 4
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OpenStudy (anonymous):
-2
OpenStudy (anonymous):
Yes, so our final answer is
\(y - 8 = -2(x - 2)\)
OpenStudy (anonymous):
thank you again :P
OpenStudy (anonymous):
No problem :P
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