Answer
$\frac{2}{5}$
Work Step by Step
We are given:
$2x-5y=10$
Rewrite the equation in the slope-intercept form $y=mx+c$ as follows:
$$
-5y=-2x+10\Longrightarrow y=\frac{2}{5}x-2
.$$
Now, by comparing the given equation to the slope-intercept form $y=mx+c$, we find that the slope is
$$
m=\frac{2}{5}
.$$
