Answer:
The answer is
![(5)/(9) \\](https://img.qammunity.org/2021/formulas/mathematics/college/pctjar8awcthrpw5o7mq9o0gmysqyjhhxx.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 (10, 9)
The slope is
![m = (9 - 4)/(10 - 1) = (5)/(9) \\](https://img.qammunity.org/2021/formulas/mathematics/college/33nhdmvsnx28hgviydohujr6ix6emsxz16.png)
We have the final answer as
![(5)/(9) \\](https://img.qammunity.org/2021/formulas/mathematics/college/pctjar8awcthrpw5o7mq9o0gmysqyjhhxx.png)
Hope this helps you