Question

what is the rate of change for the points (0,0) and (6, -110)

Answer 1

The rate of change between two points can be calculated using the formula for the slope of a line, which is given by:

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

Where \((x_1, y_1)\) and \((x_2, y_2)\) are the two points. For the points \((0, 0)\) and \((6, -110)\):

- \((x_1, y_1) = (0, 0)\)
- \((x_2, y_2) = (6, -110)\)

Now substitute these values into the formula:

\[
\text{slope} = \frac{-110 - 0}{6 - 0} = \frac{-110}{6}
\]

Now, simplify \(\frac{-110}{6}\):

\[
\text{slope} = \frac{-55}{3}
\]

Thus, the rate of change (or slope) between the points \((0, 0)\) and \((6, -110)\) is \(\frac{-55}{3}\).