5.(A.3A) The table represents some points on the graphof a linear function. What is the slope of thisfunction?х у-6-70-106-1312-16

The slope of a linear function can be obtained as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x1,y1) and (x2,y2) are points of the line.
For this problem we just have to pick 2 points from the table (they don't have to be consecutive). I'll pick:
• x1 = 0
,• y1 = 4
,• x2 = 2
,• y2 = 14
And now we compute the slope:
[tex]m=\frac{14-4}{2-0}=\frac{10}{2}=5[/tex]The slope is 5 (third option)