Question

Is the relationship shown by the data linear? If so, model the data with an equation. x= -7, -5, -3 ,-1 , y = 5, 9, 13, 17

Answer 1

First we take the two points (-7,5) and (-5,9).
Compute the slope:
`(9-5)/(-5+7)=2`
Then the linear relation may be in the following form
`y=2x+b`
Since the point (-7,5) is on the line, then
`5=-7(2)+b\text{ then }b=19.`
The relation is then
`y=2x+19`.
We check that the other point are on the above line:

`2(-3)+19=13 \text{ OK}\\2(-1)+19=17 \text{ OK}`
We have then a linear relation.