Given the equation:
[tex]x+3y=3[/tex]
To draw a graph of the line:
Step 1: Determine the y-intercept.
When x=0
[tex]\begin{gathered} x+3y=3 \\ 0+3y=3 \\ 3y=3 \\ y=\frac{3}{3} \\ y=1 \\ \implies(0,1) \end{gathered}[/tex]
Step 2: Determine the x-intercept.
When y=0
[tex]\begin{gathered} x+3y=3 \\ x+3(0)=3 \\ x=3 \\ \implies(3,0) \end{gathered}[/tex]
Step 3: Join the points (0,1) and (3,0) by a straight line as done below.
