the slope in a straight line is the number that accompanies the x
on this case is -1/3
[tex]-\frac{1}{3}[/tex]you look the equation and take the number near to x
for this case
[tex]y=-\frac{1}{3}x+5[/tex]the number near to x, which is multiplying, will always be the slope
on this case the number is
[tex]-\frac{1}{3}[/tex]and example
whats the slope of the function...
[tex]y=9x+400[/tex]the slope is 9 becase is the number that is multiplying or accompanying the x