Answer:
The answer is
![- (8)/(5) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/b04shu6lmup0l00ojajpij59fy4rbr2k09.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
(−1, 7) and (4, −1)
The slope is
![m = ( - 1 - 7)/(4 - - 1) = ( - 8)/(5) = - (8)/(5) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/kiznfoec6vcufswlubkunbdt946o6pu1gw.png)
We have the final answer as
![- (8)/(5) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/b04shu6lmup0l00ojajpij59fy4rbr2k09.png)
Hope this helps you