Chapter 8 - Systems of Linear Equations and Problem Solving - 8.4 Systems of Equations in Three Variables - 8.4 Exercise Set - Page 538: 41

The slope is 1/3 and the y-intercept is -7/3.

We know that $y=mx+b$, where m is the slope and b is the y-intercept. Using this, we find that the equation in slope intercept form is: $$ 3y=x-7 \\ y=\frac{1}{3}x-\frac{7}{3}$$ Thus, the slope is 1/3 and the y-intercept is -7/3.