To find the slope of the linear function defined by the two points in the table, we first need to identify the points. The points given are:
- Point 1: \((-14, -18)\)
- Point 2: \((-10, -12)\)
The slope \(m\) of a linear function is calculated using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Let’s assign values to \(x_1, y_1, x_2, y_2\):
- \(x_1 = -14\)
- \(y_1 = -18\)
- \(x_2 = -10\)
- \(y_2 = -12\)
Now we can plug these values into the slope formula:
\[ m = \frac{-12 - (-18)}{-10 - (-14)} \]
This simplifies to:
\[ m = \frac{-12 + 18}{-10 + 14} \] \[ m = \frac{6}{4} \] \[ m = \frac{3}{2} \]
Thus, the slope of the function is Three-halves.