To solve for the slope of this problem, we first need to get this equation in the form y = mx + b. We can start do that by adding 2y to each side.
-5x - 2y + 2y = 26 +2y
Get 2y by itself
-5x-26=2y
Divide by two
y= -2.5x -13
In an equation written in the form y = mx + b, m is the slope, so the slope in this equation is -2.5.