Answer:
The answer is
![(3)/(2) \\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5hy4x1ua8s5r7eet5b77uay0mdr2fqw189.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,-4) and (3,-1)
The slope is
![m = ( - 1 - - 4)/(3 - 1) = ( - 1 + 4)/(2) = (3)/(2) \\](https://img.qammunity.org/2021/formulas/mathematics/college/a7mpzbruw9r2lhib6ofe5y2wulc4ft09u2.png)
We have the final answer as
![(3)/(2) \\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/5hy4x1ua8s5r7eet5b77uay0mdr2fqw189.png)
Hope this helps you