Question

How do I graph x+3y=3

Answer 1

Given the equation:

`x+3y=3`

To draw a graph of the line:

Step 1: Determine the y-intercept.

When x=0

`\begin{gathered} x+3y=3 \\ 0+3y=3 \\ 3y=3 \\ y=(3)/(3) \\ y=1 \\ \implies(0,1) \end{gathered}`

Step 2: Determine the x-intercept.

When y=0

`\begin{gathered} x+3y=3​ \\ x+3(0)=3​ \\ x=3 \\ \implies(3,0) \end{gathered}`

Step 3: Join the points (0,1) and (3,0) by a straight line as done below.