Question

Graph the line 9x-3y=0

Answer 1

To graph the line, you have to determine at least two points of it. First, write the equation in slope-intercept form:

`9x-3y=0`

-Subtract 9x to both sides of the equation to pass the term to the right side

`\begin{gathered} 9x-9x-3y=0-9x \\ -3y=-9x \end{gathered}`

-Divide both sides by -3

`\begin{gathered} (-3y)/(-3)=(-9x)/(-3) \\ y=3x \end{gathered}`

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

`\begin{gathered} y=3x \\ y=3\cdot0 \\ y=0 \end{gathered}`

The first ordered pair is (0,0)

For x=3

`\begin{gathered} y=3x \\ y=3\cdot3 \\ y=9 \end{gathered}`

The second ordered pair is (3,9)

Plot both points and graph the line: