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OpenStudy (anonymous):
What is the slope of the line that contains the points (2, 6) and (-1, -6)?
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jimthompson5910 (jim_thompson5910):
I'll get you started
\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]
\[\Large m = \frac{-6-6}{-1-2}\]
\[\Large m = ???\]
OpenStudy (jdoe0001):
\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 2}}\quad ,&{\color{blue}{ 6}})\quad &({\color{red}{ -1}}\quad ,&{\color{blue}{ -6}})
\end{array}
\\\quad \\
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\)
OpenStudy (anonymous):
hold do you type color in Latex!!? D:
OpenStudy (anonymous):
\[\frac{ -12 }{ -3}\]
jimthompson5910 (jim_thompson5910):
reduce that to get ???
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jimthompson5910 (jim_thompson5910):
what is 12/3 equal to?
OpenStudy (anonymous):
4!
jimthompson5910 (jim_thompson5910):
the two negatives cancel, so the result is positive
therefore, the slope is 4
OpenStudy (anonymous):
Thank you so much!
jimthompson5910 (jim_thompson5910):
you're welcome
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