The correct option is A) m = -2
TO calculate the slope of a line with the graph, we can look at two points, in thius case
A( 1, -4) and
B(-1, 0)
Then the slope is the difference in the y coordinate, divided by the difference in the x coordinate:
![m=(A_y-B_y)/(A_x-B_x)](https://img.qammunity.org/2023/formulas/mathematics/college/hpy1bctrcftttzlszywluheko70zf45zge.png)
In this case:
![\begin{gathered} \begin{cases}A(1,-4) \\ B(-1,0)\end{cases} \\ m=(-4-0)/(1-(-1))=-(4)/(2)=-2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9gcg6tymcnjbdeveoyw58lsoxgwjk3t961.png)
Which is option A.