Question

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

Short answer

Slope of given line is -3.

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:$\left(0,0\right)$and$\left(-1,3\right)$

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:

localid="1645581330898" role="math" $m=\frac{y_2-y_1}{x_2-x_1}$

Here, we have localid="1645581350909" role="math" $\left(x_1,y_1\right)=(0,0);\left(x_2,y_2\right)=(-1,3)$

So, required slope is:

localid="1645581402276" role="math" $$\begin{gathered} m=\frac{3-0}{-1-0} \\ =-3 \end{gathered}$$