Find the point-slope equation for the line that passes through the points (5,35) and (-6,-31). Use the first point in your equat

ion.

Mathematics

1 answer:

Bumek [7]3 years ago

4 0

$\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{35})\qquad
(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-31})
\\\\\\
slope = m\implies
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-31-35}{-6-5}\implies \cfrac{-66}{-11}\implies 6
\\\\\\
\begin{array}{|c|ll}
\cline{1-1}
\textit{point-slope form}\\
\cline{1-1}
\\
y-y_1=m(x-x_1)
\\\\
\cline{1-1}
\end{array}\implies y-35=6(x-5)$

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