Question

Please help me plot the ordered pair on a graph

Answer 1

Given:

`y=(1)/(2)x+1`

Find-:

Plot all ordered pairs for the value of the domain.

Sol:

Domain is:

`D:\lbrace-8,-4,0,2,6\rbrace`

At x = -8.

`\begin{gathered} y=(1)/(2)x+1 \\ \\ y=(1)/(2)(-8)+1 \\ \\ y=-4+1 \\ \\ y=-3 \end{gathered}`

Point A(-8,-3)

At x = -4

`\begin{gathered} y=(1)/(2)x+1 \\ \\ y=(1)/(2)(-4)+1 \\ \\ y=-2+1 \\ \\ y=-1 \end{gathered}`
`\text{ Point B \lparen-4,-1\rparen}`

At x = 0

`\begin{gathered} y=(1)/(2)x+1 \\ \\ y=(1)/(2)(0)+1 \\ \\ y=0+1 \\ \\ y=1 \end{gathered}`

So the point,

`C(0,1)`

At x = 2,

`\begin{gathered} y=(1)/(2)x+1 \\ \\ y=(1)/(2)(2)+1 \\ \\ y=1+1 \\ \\ y=2 \end{gathered}`

Point is:

`D(2,2)`

At x = 6

`\begin{gathered} y=(1)/(2)x+1 \\ \\ y=(1)/(2)(6)+1 \\ \\ y=3+1 \\ \\ y=4 \end{gathered}`

So, the point is:

`(6,4)`

So point in graph is: