Question

7. Which set of points could represent

a linear function?
A {(2, 1), (5,3), (6, 7), (7, 11)}
B ((2.-1), (5,3), (8, 7). (11.11 )}
C {(2, -1), (5,5), (8,7), (11, 11 )}
D (5.-1), (5,5), (8,7), (11, 11)}

Answer 1

B ((2.-1), (5,3), (8, 7). (11.11 )}

Explanation:

Linear function:

The rate of change is always the same.

Item a:

x = 2 to x = 5 -> y = 1 to y = 3. Rate of change of 2/3.

x = 5 to x = 6 -> y = 3 to y = 7. Rate of change of 4.

Different rates of change, so not linear.

Item b:

We can look that for each point, when x changes by 3, y changes by 4, so the rate of change is the same and this set of points represents a linear function, and the answer is option b.