Questions: What is the line's slope?

Solution Steps

From the graph, we can identify two points on the line. Let's choose the points (-3, 6) and (3, -6).

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 the coordinates of the points (-3, 6) and (3, -6) into the slope formula: \[ m = \frac{-6 - 6}{3 - (-3)} \] \[ m = \frac{-12}{3 + 3} \] \[ m = \frac{-12}{6} \]

Final Answer