Answer:
The answer is
![- (4)/(3) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/2i5dv3ssetwmda0uuxs9ggsobtc9i19vin.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
(-4,7) and (-1,3)
We have
![m = (3 - 7)/( - 1 - - 4) = ( - 4)/( - 1 + 4) = - (4)/(3) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/5car1fjuqryisn772bd8iqzyjarcp7ujeh.png)
We have the final answer as
![- (4)/(3) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/2i5dv3ssetwmda0uuxs9ggsobtc9i19vin.png)
Hope this helps you