Question

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

Answer 1

The slope of a linear function can be obtained as:

`m=(y_2-y_1)/(x_2-x_1)`

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:

`m=(14-4)/(2-0)=(10)/(2)=5`

The slope is 5 (third option)