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=(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=(4-0)/(3-(-2))`

Subtract the values on both numerator and denominator of the fraction

`m=(4)/(5)~~\checkmark`

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