This line is given to us in standard form, [tex]Ax+By=C[/tex], but it's easiest to see the slope when we convert to slope-intercept form [tex]y=mx+b[/tex], where m is the slope.
We are going to solve for y.
[tex]5x+y=15\\5x-5x+y=-5x+15\\y=-5x+15\\m=-5[/tex]
The slope is the coefficient of the x-term, –5.