Answer:
The answer is
![(8)/(5) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/uok44sdhda61nxg4kk4js86cs74ucpk3u3.png)
Explanation:
The slope of a line given two points can be found by using the formula
![m = ( y_2 - y _ 1)/(x_ 2 - x_ 1) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/zl33w7iuqc9vagvxfuw6qg7qxqm7mycmw2.png)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-5,1) and (0,9)
The slope is
![m = (9 - 1)/(0 + 5) = (8)/(5) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/awln7ou8a15dle2s6qohrvsb8fblhcthci.png)
We have the final answer as
![(8)/(5) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/uok44sdhda61nxg4kk4js86cs74ucpk3u3.png)
Hope this helps you