Question

Select all of the points that are on the line through (0,5) and (2,8).
Group of answer choices

(4, 11)

(5, 10)

(6, 14)

(30, 50)

(40, 60)

Answer 1

Answer:
Options (1), (3), and (4)
Step-by-step explanation:
For (4, 11),
11 = 1.5(4) + 5
11 = 11
Point (4, 11) lies on this line.
Point (5, 10)
10 = 1.5(5) + 5
10 = 7.5 + 5
10 = 12.5
But 10 ≠ 12.5
Therefore, (5, 10) doesn't line on the line.
Point (6, 14)
14 = 1.5(6) + 5
14 = 14
True.
Therefore, (6, 14) lies on the line.
Point (30, 50)
50 = 1.5(30) + 5
50 = 50
True.
Therefore, (30, 50) lies on the line.
Point (40, 60)
60 = 1.5(40) + 5
60 = 65
But 60 ≠ 65
Therefore, (40, 60) doesn't lie on the line.
Options (1), (3) and (4) and the correct options.