-> First, we want to put it into more of a slope-intercept form so we can graph.
y - 4 = 1/3 (x + 2)
y = 1/3 (x + 2) + 4
y = 1/3x + 2/3 + 4
y = 1/3x + 14/3
-> Next, we will plot the point (0, 14/3) because it is the y-intercept of our equation
-> Last, we will move up one and to the right three, following the pattern of "rise over run" with our slope of 1/3
[] The finished graph is attached
[] I have also graphed the original equation to show that they overlap, showing that our simplification works
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather