Question

what is the rate of change for (0,0) and (1, -20)

Answer 1

The rate of change between two points \((x_1, y_1)\) and \((x_2, y_2)\) can be calculated using the formula for the slope of a line:

\[
\text{Rate of Change} = \frac{y_2 - y_1}{x_2 - x_1}
\]

For the points \((0, 0)\) and \((1, -20)\), we can assign:

- \(x_1 = 0\), \(y_1 = 0\)
- \(x_2 = 1\), \(y_2 = -20\)

Now plug in these values:

\[
\text{Rate of Change} = \frac{-20 - 0}{1 - 0} = \frac{-20}{1} = -20
\]

So, the rate of change between the points \((0, 0)\) and \((1, -20)\) is \(-20\).