Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Practice and Problem-Solving Exercises - Page 363: 12

The point of intersection is $(3,2)$

#$1$ $y=\frac{1}{3}x+1$ $Slope = \frac{1}{3}$ $y-intercept = (0,3)$ #$2$ $y= -3x + 11$ $Slope = -3$ $y-intercept = (0,11)$ We will graph both lines in a single co ordinate plane 1st equation in red line and 2nd equation in blue line and the point of intersection is the solution.