Question

What is slope of the line?

Answer 1

Hello there!

To find the slope of a line, we need to know at least two points contained in the graph of the line.

The slope $m$ of a line passing through the points $(x_0,~y_0)$ and $(x_1,~y_1)$ is given by the formula: $m=\dfrac{y_1-y_0}{x_1-x_0}$.

As we can see on the graph, two points contained on the line are $(-2,~0)$ and $(3,~4)$.

Using the formula above, we get that:

$m=\dfrac{4-0}{3-(-2)}$

Subtract the values on both numerator and denominator of the fraction

$m=\dfrac{4}{5}~~\checkmark$

This is the slope of this line we were looking for.