Question

In the following exercises, find the slope of each line shown,

Short answer

Slope of given line is 1.

Step-by-step solution

Given information.

The graph showing line:

Find two points on the line. 

Write two points from the graph through which the line is passing whose coordinates should be integer.

From the graph, such two points are:$\left(0,4\right)$and$\left(-4,0\right)$.

Find the slope.

Slope of line passing through two points $\left(x_1,y_1\right)$and $\left(x_2,y_2\right)$is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

Here, we have: $\left(x_1,y_1\right)=(0,4);\left(x_2,y_2\right)=(-4,0)$

So, required slope is :

$$\begin{gathered} m=\frac{0-4}{-4-0} \\ =1 \end{gathered}$$