Questions: The graph below shows the relationship between the value of a building and the depreciation allowed for income tax purposes. Find the slope of the line between the two points shown on the graph.

Solution Steps

The graph shows two points: (0, 100) and (20, 0).

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Substitute \((x_1, y_1) = (0, 100)\) and \((x_2, y_2) = (20, 0)\) into the slope formula: \[ m = \frac{0 - 100}{20 - 0} = \frac{-100}{20} = -5 \]

Final Answer