Located at O(1, 2) and N(3, 1). Using slope-intercept form, write the equation of line

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asked Jun 8, 2018 142k views

1 vote

Located at O(1, 2) and N(3, 1). Using slope-intercept form, write the equation of line

Mathematics
high-school

Aaron Storck asked

by Aaron Storck

6.8k points

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2 Answers

3 votes

$\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) O&({{ 1}}\quad ,&{{ 2}})\quad % (c,d) N&({{ 3}}\quad ,&{{ 1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-2}{3-1}$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \begin{array}{llll} \textit{plug in the values for } \begin{cases} y_1=2\\ x_1=1\\ m=\boxed{?} \end{cases}\\ \textit{and solve for$

Harry Mitchell answered Jun 8, 2018