Question

Find the slope of line passing through two points (3,-4) and (1,2)

-3
3
-1
1
—
Find the slope of line passing through two points (6,-2) and (2,-2)
-1/3
1/3
Undefined
0
—
Find the slope of line passing through two points (3,6) and (3, 2)
Undefined
0
4
-4

Answer 1

`\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{3}}}\implies \cfrac{2+4}{-2}\implies -3 \\\\[-0.35em] ~\dotfill`

`\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{6}}}\implies \cfrac{-2+2}{-4}\implies 0 \\\\[-0.35em] ~\dotfill`

`\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{3}}}\implies \cfrac{-4}{0}\implies und efined`