The general equation of a line is:
[tex]y=mx+b[/tex]Where m is the slope and b the y-intercept.
Given the slope and one point, you can replace these values to find the y-intercept b:
[tex]\begin{gathered} 1=\frac{2}{3}\cdot1+b \\ 1=\frac{2}{3}+b \\ 1-\frac{2}{3}=b \\ b=\frac{1\cdot3-1\cdot2}{1\cdot3}=\frac{3-2}{3} \\ b=\frac{1}{3} \end{gathered}[/tex]Then, the equation of the line is:
[tex]y=\frac{2}{3}x+\frac{1}{3}[/tex]To graph the line, you can make a table of values first:
x y
-1 -1/3
0 1/3
1 1
2 5/3
And the graph will look like:
