Step 1: Rearrange the equation to solve for y

$$ 2x+5y=9 $$

$$ 5y=-2x+9 $$

$$ y=-\frac{2}{5}x+\frac{9}{5} $$

Step 2: find the slope m

As we know that

$$ y=mx+b $$

where m is the slope.

$$ \therefore Slope=-\frac{2}{5} $$