Question

Which set of coordinate pairs do NOT represent a linear function?

A) (-4, -12), (-3, -10), (-2, -8), (-1, -6)
B) (-4, -17), (-3, -10), (-2, 5), (-1, 2)
C) (1, -7), (2, -10), (3, -13), (4, -16)
D) (1, 1), (2, 4), (3, 7), (4, 10)

Answer 1

To determine which set of coordinate pairs do NOT represent a linear function, we need to check if the y-values change at a constant rate as the x-values change. The set of coordinate pairs that do NOT represent a linear function is Option B: (-4, -17), (-3, -10), (-2, 5), (-1, 2).

Step-by-step explanation:

To determine which set of coordinate pairs do NOT represent a linear function, we need to check if the y-values change at a constant rate as the x-values change. If the rate of change is not constant, then it is not a linear function.

Let's check each option:

1. Option A: (-4, -12), (-3, -10), (-2, -8), (-1, -6)
   The y-values increase by 2 as the x-values increase by 1. This is a constant rate of change, so it represents a linear function.
2. Option B: (-4, -17), (-3, -10), (-2, 5), (-1, 2)
   The y-values change by varying amounts as the x-values change. This does not represent a linear function.
3. Option C: (1, -7), (2, -10), (3, -13), (4, -16)
   The y-values decrease by 3 as the x-values increase by 1. This is a constant rate of change, so it represents a linear function.
4. Option D: (1, 1), (2, 4), (3, 7), (4, 10)
   The y-values increase by 3 as the x-values increase by 1. This is a constant rate of change, so it represents a linear function.

Therefore, the set of coordinate pairs that do NOT represent a linear function is Option B: (-4, -17), (-3, -10), (-2, 5), (-1, 2).