Complete the function table. Then write a rule for the function.
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OpenStudy (openstudyrocks5*):
OpenStudy (openstudyrocks5*):
@iGreen.
OpenStudy (anonymous):
We can find the slope.
\(m = \dfrac{y_2-y_1}{x_2-x_1}\)
\(m = \dfrac{-1+4}{1+2}\)
Simplify that
OpenStudy (openstudyrocks5*):
What do you mean simplify it? how do you simplify that?
OpenStudy (anonymous):
Add -1 + 4 and 1 + 2, then divide
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OpenStudy (openstudyrocks5*):
Divide by what?
OpenStudy (anonymous):
First add -1 + 4
OpenStudy (openstudyrocks5*):
3
OpenStudy (anonymous):
Yes, now add 1 + 2
OpenStudy (openstudyrocks5*):
3
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OpenStudy (anonymous):
Yes, now divide 3 / 3
OpenStudy (openstudyrocks5*):
1
OpenStudy (anonymous):
Yes, so now we can plug that into point-slope form with one of our points.
\(y - y_1 = m(x - x_1)\)
Where \(y_1\) is the y-value of the point, \(x_1\) is the x-value of the point, and \(m\) is the slope.
So we have:
\(y + 4 = 1(x + 2)\)
Distribute 1 into the parenthesis:
\(y + 4 = x + 2\)
Subtract 4 to both sides what's 2 - 4?
OpenStudy (openstudyrocks5*):
-2
OpenStudy (anonymous):
Yes, now we have:
\(y = x - 2\)
Now we can plug in '-3' for 'x'.
\(y = -3 - 2\)
What's -3 - 2?
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OpenStudy (openstudyrocks5*):
-5
OpenStudy (anonymous):
Yes, so we have (-3, -5)
-5 goes in the first blank
What's -1 - 2?
OpenStudy (openstudyrocks5*):
-3
OpenStudy (anonymous):
Yes, so -3 goes in the next blank.
What's 0 - 2?
OpenStudy (openstudyrocks5*):
-2
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OpenStudy (anonymous):
Yes, so that goes in the last blank.
OpenStudy (openstudyrocks5*):
Thanks I have 4 questions left :). Your a lifesaver