Question

does this table represent a linear function if so state so and state the slope
x:-4, -1
y:2, 8

Answer 1

To determine if the given points represent a linear function, we can check if the slope between the two points is constant.

The points given are (-4, 2) and (-1, 8).

1. **Calculate the slope (m)** using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, \( (x_1, y_1) = (-4, 2) \) and \( (x_2, y_2) = (-1, 8) \).

Plugging in the values:
\[
m = \frac{8 - 2}{-1 - (-4)} = \frac{6}{3} = 2
\]

Since the slope is constant, the table does represent a linear function.

2. **State:** Yes, this table represents a linear function.

3. **State the slope:** The slope \( m \) is 2.