Questions: What is the slope of this line? Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Solution Steps

From the graph, we can identify two points on the line. Let's choose the points (-32, 32) and (0, 16).

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 \((x_1, y_1) = (-32, 32)\) and \((x_2, y_2) = (0, 16)\) into the formula: \[ m = \frac{16 - 32}{0 - (-32)} \] \[ m = \frac{-16}{32} \]

Simplify \(\frac{-16}{32}\): \[ m = \frac{-16 \div 16}{32 \div 16} \] \[ m = \frac{-1}{2} \]

Final Answer