Question

Graph the linear equation in two variables. FIND THREE ORDERED PAIR SOLUTIONS WHEN X=-6, X= 0, X=1 and then plot the points to graph the equation. y = x + 6

Answer 1

Given the equation:

`y=x+6\text{ ----- equation 1}`

When x=-6, substitute the value of -6 for x in equation 1.

Thus,

`\begin{gathered} y=x+6 \\ \text{where x=-6} \\ y=-6+6 \\ \Rightarrow y=0 \end{gathered}`

When x=0, substitute the value of 0 for x in equation 1.

Thus,

`\begin{gathered} y=x+6 \\ \text{where x=0} \\ \text{thus,} \\ y=0+6 \\ \Rightarrow y=6 \end{gathered}`

When x=1, substitute the value of 1 for x in equation 1.

Thus,

`\begin{gathered} y=x+6 \\ \text{where x=1} \\ \text{thus,} \\ y=1+6 \\ \Rightarrow y=7 \end{gathered}`

Hence, we have the following paired solutions:

`\begin{gathered} (-6,0), \\ (0,6), \\ (1,7) \end{gathered}`

Using the above paired points, the graph of the equation

`y=x+6`

is as shown below: