Slope is -2 and (5, 3) is on the line. What is the equation in slope intercept form?

1 answer:

6 0

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 5}}\quad ,&{{ 3}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies -2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-3=-2(x-5)
\\\\\\
y-3=-2x+10\implies y=-2x+13$

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