Question

What is the slope of the line that passes through the points

(
−
3
,
1
)
(−3,1) and
(
7
,
−
14
)
?
(7,−14)? Write your answer in simplest form.

Answer 1

`\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-14}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-3)}}}\implies \cfrac{-15}{7+3}\implies \cfrac{-15}{10}\implies -\cfrac{3}{2}`