Answer:
You can find the point of intersection of the line with the y-axis and the the point of intersection of the line with the x-axis. See the graph attached.
Step-by-step explanation:
Find the intersection with the y-axis. Substitute [tex]x=0[/tex] into the equation and solve for y:
[tex]y-3=\frac{1}{3}(x+1)\\\\y-3=\frac{1}{3}(0+1)\\\\y-3=\frac{1}{3}(1)\\y=\frac{1}{3}+3\\\\y=\frac{10}{3}[/tex]
[tex]y[/tex]≈3.33
Find the intersection with the x-axis. Substitute [tex]y=0[/tex] into the equation and solve for x:
[tex]y-3=\frac{1}{3}(x+1)[/tex]
[tex]0-3=\frac{1}{3}(x+1)\\(-3)(3)=x+1\\-9-1=x\\x=-10[/tex]
Now, you know that the line passes through the point (0,3.33) and (-10,0). Now you can graph the function. (Observe the graph attached)
