Question

On a coordinate plane, points (0.5, 2), (4, 16), and (6.5, 26) are plotted.
Natalie made a graph showing these ordered pairs representing a proportional relationship.

(0.5, 2), (4, 16), (6.5, 26)

Which ordered pair would be on the same line as Natalie’s ordered pairs?
(3.5, 12)
(2, 4)
(8, 32)
(12, 36)

Answer 1

Find the constant k = y/x from one point: 2 ÷ 0.5 = 4. So the line is y = 4x. Check each option:

- (3.5,12): 4·3.5 = 14 ≠ 12
- (2,4): 4·2 = 8 ≠ 4
- (8,32): 4·8 = 32 ✅
- (12,36): 4·12 = 48 ≠ 36

Answer: (8, 32).