Question

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(0, 0); (5, 1)

Short answer

The slope of the line is $\frac{1}{5}$.

Step-by-step solution

Step-1 – Given

The given points are (0, 0); (5, 1).

Step-2 – To determine

We have to find the slope of the line through the points (0, 0); (5, 1).

Step-3 – Calculation 

We compare (0, 0); (5, 1) with$\left(x_1,y_1\right);\left(x_2,y_2\right)$.

here,

$\begin{array}{l}{x}_1=0\\ y_1=0\\ x_2=5\\ y_2=1\end{array}$

So, $slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}=\frac{1-0}{5-0}=\frac{1}{5}$

It means, the slope of the line is $\frac{1}{5}$.