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Use the table to answer the equation.

x: 18, 6
y: - 3
Write the equation of the linear function represented by the table.

1 answer

To write the equation of the linear function, we need to find the slope (m) and the y-intercept (b) of the line. The table provides two points:

  1. \( (18, -3) \)
  2. \( (6, -3) \)

Step 1: Calculate the Slope (m)

The slope \( m \) is calculated using the formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Using the points \( (x_1, y_1) = (18, -3) \) and \( (x_2, y_2) = (6, -3) \):

\[ m = \frac{-3 - (-3)}{6 - 18} = \frac{0}{-12} = 0 \]

The slope is \( m = 0 \). This indicates that the line is horizontal.

Step 2: Write the Equation

Since the slope is 0, the equation of the line is simply:

\[ y = -3 \]

Conclusion

The equation of the linear function represented by the table is:

\[ y = -3 \]