Question

initial value and rate change of
-5,8 and -7,14

Answer 1

It looks like you're asking for the initial values and rates of change from two points: (-5, 8) and (-7, 14). To clarify, it appears you have two coordinate points, and you'd like to find the slope (rate of change) between these points.

### Points
- Point 1: (-5, 8)
- Point 2: (-7, 14)

### Rate of Change (Slope)

The formula to calculate the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

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

Substituting the values from the points:

- \((x_1, y_1) = (-5, 8)\)
- \((x_2, y_2) = (-7, 14)\)

Now plug them into the slope formula:

\[
m = \frac{14 - 8}{-7 - (-5)} = \frac{6}{-7 + 5} = \frac{6}{-2} = -3
\]

### Initial Value

The term "initial value" may refer to the y-coordinate of one of the points, typically when dealing with linear equations or functions. Using Point 1 (-5, 8), the initial value could be considered 8 (this is the y-value when x = -5).

### Summary

- **Initial Value**: 8 (from point (-5, 8))
- **Rate of Change (Slope)**: -3

If you need further analysis or a different interpretation, please provide additional context!