Question

Find the slope of the line shown in the graph.

On a coordinate plane, a line goes through (0, negative 1) and (3, 0).
a.
3
c.
Negative one-third
b.
-1
d.
One-third

Answer 1

`(\stackrel{x_1}{0}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{0}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{0}-\stackrel{y1}{(-1)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{0}}} \implies \cfrac{ 0 +1 }{ 3 } \implies \cfrac{ 1 }{ 3 }`