contestada

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

Respuesta :

First we take the two points (-7,5) and (-5,9).
Compute the slope: [tex] \frac{9-5}{-5+7}=2 [/tex]
Then the linear relation may be in the following form [tex]y=2x+b[/tex]
Since the point (-7,5) is on the line, then [tex]5=-7(2)+b\text{ then }b=19.[/tex]
The relation is then [tex]y=2x+19[/tex].
We check that the other point are on the above line:
[tex]2(-3)+19=13 \text{ OK}\\2(-1)+19=17 \text{ OK}[/tex]
We have then a linear relation.