Topic 4 Practice Solve the system by graphing. \[ y=\frac{1}{3} x+2 \] \( y=-x-2 \) Part A

To solve the system of equations by graphing, you'll start by plotting the lines represented by each equation. For the first equation \( y=\frac{1}{3}x+2 \), you can find two points: when \( x=0 \), \( y=2 \) (the y-intercept), and when \( x=3 \), \( y=3 \). For the second equation \( y=-x-2 \), the y-intercept occurs at \( (0,-2) \) and when \( x=2 \), \( y=-4 \). Plot these points on a grid, draw the lines, and locate where they intersect for your solution, which gives you the values of \( x \) and \( y \) for the system. Graphing is like connecting the dots of your mathematical journey! Once you've plotted both lines on the same graph, the intersection point is your solution. Avoid mistakes by ensuring both equations are written in the same format, and double-check your points before graphing! If you make an error in plotting, it could lead to a completely different intersection point, throwing off your solution. So, take your time and enjoy the visual aspect of algebra!