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:
[tex]m=\frac{A_y-B_y}{A_x-B_x}[/tex]In this case:
[tex]\begin{gathered} \begin{cases}A(1,-4) \\ B(-1,0)\end{cases} \\ m=\frac{-4-0}{1-(-1)}=-\frac{4}{2}=-2 \end{gathered}[/tex]Which is option A.