Question

Please help me plot the ordered pair on a graph

Answer 1

Given:

$y=\frac{1}{2}x+1$

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.

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

Point A(-8,-3)

At x = -4

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

At x = 0

$\begin{gathered} y=\frac{1}{2}x+1 \\ \\ y=\frac{1}{2}(0)+1 \\ \\ y=0+1 \\ \\ y=1 \end{gathered}$

So the point,

$C(0,1)$

At x = 2,

$\begin{gathered} y=\frac{1}{2}x+1 \\ \\ y=\frac{1}{2}(2)+1 \\ \\ y=1+1 \\ \\ y=2 \end{gathered}$

Point is:

$D(2,2)$

At x = 6

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

So, the point is:

$(6,4)$

So point in graph is: