Question

The equation y=x+8 represents the length in y in inches of a sleeping bag for a person is is x inches tall. Witch pair does not belong? A. (64,72). B. (70,78). C. (72,80). D.(74,62)

Answer 1

In order to find the correct coordinates, we need to substitute each of the given point into the given equation

`y=x+8`

Then, by substituting point (64,72) we have

that is:

`\begin{gathered} 72=64+8 \\ 72=72 \end{gathered}`

Then, this point belongs to the given line equation.

Similarly, by substituting point (70,78), we have

`\begin{gathered} 78=70+8 \\ 78=78 \end{gathered}`

Then this point belong to the line equation.

Next, by substituting point (72,80), we have

`\begin{gathered} 80=72+8 \\ 80=80 \end{gathered}`

so, this point also belongs to the line.

And finally, by substituting point (74,62), we get

`\begin{gathered} 62=74+8 \\ 62=82 \end{gathered}`

which is an absurd result. Then, the answer is option D.