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.

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