Question

Consider the set of points shown.

How many of the points are solutions on the graph of the linear function y = 2/3x - 5?
(-6, 9), (-5, 0), (0, - 5), (3, 3), (9, 0.5), (12, 3)
A:2 points
B: 3 points
C:4 points
D: 5 points

Answer 1

Only two of the provided points, (0, -5) and (3, 3), are solutions on the graph of the linear function y = 2/3x - 5.

Step-by-step explanation:

To determine how many of the provided points are solutions to the linear function y = 2/3x - 5, each point must be plugged into the equation to check for validity.

• Point (-6, 9) does not satisfy the function because 9 ≠ 2/3(-6) - 5.
• Point (-5, 0) does not satisfy the function because 0 ≠ 2/3(-5) - 5.
• Point (0, -5) satisfies the function because -5 = 2/3(0) - 5.
• Point (3, 3) satisfies the function because 3 = 2/3(3) - 5.
• Point (9, 0.5) does not satisfy the function because 0.5 ≠ 2/3(9) - 5.
• Point (12, 3) does not satisfy the function because 3 ≠ 2/3(12) - 5.

Therefore, out of the given points, only 2, which are (0, -5) and (3, 3), satisfy the equation y = 2/3x - 5. The correct answer is A: 2 points.