The linear equation is given to be:
[tex]y=\frac{1}{3}x-1[/tex]
The ordered pairs that represent solutions of the line are corresponding x and y-coordinates that are on the line.
Ordered pairs are written to be (x, y).
First Ordered Pair: (3, )
This means that:
[tex]x=3[/tex]
To find the y-variable, we substitute for x into the equation:
[tex]\begin{gathered} y=\frac{1}{3}(3)-1 \\ y=1-1 \\ y=0 \end{gathered}[/tex]
Therefore, the first ordered pair is (3, 0).
Second Ordered Pair: ( , 1)
This means that:
[tex]y=1[/tex]
To find the x-variable, we substitute for y into the equation:
[tex]\begin{gathered} 1=\frac{1}{3}x-1 \\ 1+1=\frac{1}{3}x \\ 2=\frac{1}{3}x \\ 2\times3=\frac{1}{3}x\times3 \\ x=6 \end{gathered}[/tex]
Therefore, the second ordered pair is (6, 1).
