Question

Complete the table of ordered pairs for the given linear equation.y= 1/3 x

Answer 1

Let's begin by listing out the information given to us:

`\begin{gathered} y=(1)/(3)x \\ \end{gathered}`

To get the ordered pair for this equation, we will assume values for x (x = -2, 0, 1, 3)

`\begin{gathered} y=(1)/(3)x \\ \\ x=-2 \\ y=(1)/(3)\cdot(-2)=-(2)/(3) \\ (x,y)=(-2,-(2)/(3)) \\ x=0 \\ y=(1)/(3)\cdot0=0 \\ (x,y)=(0,0) \\ x=1 \\ y=(1)/(3)\cdot1=(1)/(3) \\ (x,y)=(1,(1)/(3)) \\ x=3 \\ y=(1)/(3)\cdot3=1 \\ (x,y)=(3,1) \end{gathered}`

Hence, the ordered pair we have is: (x, y) = (-2, -2/3); (0, 0); (1, 1/3); (3, 1)