Question

The ordered pairs in the table represent a linear function.

x f(x)
−2 1
​ −1 ​ 3
0 5
1 7
2 9
What is the value of the function when x = 5?

0 10 15 20

Answer 1

Since the slope is 2 (because increase in x by 1 leads to an increase of y by 2) and the y-intercept is 5 (because y=5 when x=0), the line, y=mx+b, is:

y=2x+5 so when x=5

y=2(5)+5

y=15