Question

Graph the set of points. Which model is most appropriate for the set? (-6 -1) (-3,2) (-1 4) (2 7)

Answer 1

These are the points. To see if there is a change in their slope, we need to look at each point.

The slope between (-6,-1) and (-3,2) is
$\frac{ - 6 - ( - 3)}{ - 1 - 2} \\ \frac{ - 3}{ - 3} \\ = 1$
The slope between (-3,2) and (-1,4) is
$\frac{ - 3 - ( - 1)}{2 - 4} \\ \frac{ - 2}{ - 2} \\ = 1$
The slope between (-1,4) and (2,7) is
$\frac{ - 1 - 2}{4 - 7} \\ \frac{ - 3}{ - 3} \\ = 1$

Since the slopes are exactly the same, these points form a line. The answer is A. linear.