Answer:
The slope is
![-(4)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zz8fzloaagihdqz8rvvuss23nvw76ve065.png)
Explanation:
Standard form for a linear equation/graph:
![y = mx + b](https://img.qammunity.org/2023/formulas/mathematics/high-school/keg32d8l1q1bmgrzozsqjlg25iqjd0uxl8.png)
is the slope, and
is the Y- intercept (basically where the graph crosses the y axis).
can be shown by a fraction:
![(Rise)/(Run)](https://img.qammunity.org/2023/formulas/mathematics/college/ttllel0dr97izmfgjhb0amizmoppb2o45t.png)
In this graph, measuring from the two points of contact, the rise is 4 and the run is -3. If the graph moves towards the left while rising, then the run part of the slope should be negative, and vice versa.
Thus, the slope of this graph is
![-(4)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/zz8fzloaagihdqz8rvvuss23nvw76ve065.png)
Here's the function for the line if you need it:
![y = - (4)/(3) x + 3](https://img.qammunity.org/2023/formulas/mathematics/college/e52meemhqf930w26p2tj2t6inm0951f41w.png)