Given:
The graph of a line a.
To find:
The slope of the line a.
Solution:
Slope formula:
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2022/formulas/mathematics/college/bpkoq3bvkesp0enrhm14yweiccwgnbhsww.png)
From the given graph it is clear that the line a passes through the points (-1,1) and (0,-2). So, the slope of the line a is:
![m=(-2-1)/(0-(-1))](https://img.qammunity.org/2022/formulas/mathematics/college/k99vnthpdfoh2o2nenagjp4fs9e0ql8k3e.png)
![m=(-3)/(1)](https://img.qammunity.org/2022/formulas/mathematics/college/eohrxk9mjha2j3lsco7x9mig18ijlxpdab.png)
![m=-3](https://img.qammunity.org/2022/formulas/mathematics/high-school/vi648d1y07rgkbnrxh9n4clkscinswfkle.png)
The slope of the line a is -3. Therefore, the correct option is C.