Question

A line intersects the points
(-2, 11) and (-1, 18).
m = 7
Write an equation in point-slope form
using the point (-2, 11).
y – [?]
:
=
(x-

Answer 1

$(\stackrel{x_1}{-2}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{18}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{18}-\stackrel{y1}{11}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{(-2)}}}\implies \cfrac{7}{-1+2}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{11}=\stackrel{m}{7}(x-\stackrel{x_1}{(-2)})$