What is the slope of the line described by the following question?

-x+1/3y=5?

By rearranging the equation, the slope can be directly read from it.

You said - x + 1/3 y = 5

Add 'x' to each side: 1/3 y = x + 5

Multiply each side by 3: y = 3x + 15

This form of the equation is the so-called "slope / intercept form",

because the numbers on the right side are the slope and intercept

of its graph.

When the equation is graphed, the y-intercept of the line is 15,

and the slope of the line is 3 y-units per x-unit.