Question

What is the slope of this line

Answer 1

`\boxed {m = (3)/(2)}`

Explanation:

To determine the slope of the following line shown on the graph, you need to use the Slope Formula:

`m = (y_(2)- y_(1))/(x_(2) - x_(1))`

(where
`(x_(1), y_(1))` represents the first point and
`(x_(2), y_(2))` represents the second point)

-The points I found on the graph are
`(-3, -3)` and
`(-1, 0)`. Then, apply them onto the formula:

`(x_(1), y_(1)) = (-3, -3)`

`(x_(2), y_(2)) = (-1, 0)`

`m = (-3 - 0)/(-3 + 1)`

-Solve:

`m = (-3 - 0)/(-3 + 1)`

`\boxed {m = (3)/(2)}`

Therefore, the slope is
`(3)/(2)`.