Question

Find the slope of the line shown on the graph.

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Graph from 1)

Given the points on graph 1

• (1, -2)

• (-3, 1)

Finding the slope between two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(-3,\:1\right)$

$m=\frac{1-\left(-2\right)}{-3-1}$

$m=-\frac{3}{4}$

Graph from 2)

Given the points on graph 2

• (1, 4)

• (-3, -4)

Finding the slope between two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:4\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-4\right)$

$m=\frac{-4-4}{-3-1}$

$m=2$

Graph from 3)

From figure 3, it is clear that the line is vertical.

Thus, the slope of a vertical line is undefined.