Answer :
To graph the line, you have to determine at least two points of it. First, write the equation in slope-intercept form:
[tex]9x-3y=0[/tex]-Subtract 9x to both sides of the equation to pass the term to the right side
[tex]\begin{gathered} 9x-9x-3y=0-9x \\ -3y=-9x \end{gathered}[/tex]-Divide both sides by -3
[tex]\begin{gathered} \frac{-3y}{-3}=\frac{-9x}{-3} \\ y=3x \end{gathered}[/tex]Choose two values of x, replace them on the formula, and calculate the corresponding values of y, for example, x=0 and x=3
For x=0
[tex]\begin{gathered} y=3x \\ y=3\cdot0 \\ y=0 \end{gathered}[/tex]The first ordered pair is (0,0)
For x=3
[tex]\begin{gathered} y=3x \\ y=3\cdot3 \\ y=9 \end{gathered}[/tex]The second ordered pair is (3,9)
Plot both points and graph the line:
