X is (0.5,1) y is (0,0) what’s the rate of change

Answer 1

To determine the rate of change between two points, you typically calculate the slope of the line that connects them. The slope (\(m\)) of a line through points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:

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

Here, let's denote the points as follows:
- Point \(X\) is \((x_1, y_1) = (0.5, 1)\)
- Point \(Y\) is \((x_2, y_2) = (0, 0)\)

Plug these coordinates into the slope formula:

\[ m = \frac{0 - 1}{0 - 0.5} \]
\[ m = \frac{-1}{-0.5} \]
\[ m = 2 \]

So, the rate of change (or the slope) between points \(X\) and \(Y\) is 2.