Compute $\dfrac{\text{change in }y}{\text{change in }x}$ using those two points.

If the line goes down as you move to the right, the slope should be negative.

Plot the points $(-2,5)$ and $(4,-1)$ as two ordered pairs.

In a new line, type (y2-y1)/(x2-x1) and substitute the coordinates from the two plotted points: use $y2=-1$, $y1=5$, $x2=4$, and $x1=-2$.

The computed value is the slope of the line; match it to the answer choices.

From the graph, the line passes through the points $(-2, 5)$ and $(4, -1)$. The slope is

Simplify $\frac{-6}{6}$ to get $-1$, so the slope of the line is $-1$.