Questions: Determine the slope of the line.

Solution Steps

From the graph, we can identify two points on the line. Let's choose the points \((-3, -2)\) and \((3, 2)\).

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 \((-3, -2)\) and \((3, 2)\) into the slope formula: \[ m = \frac{2 - (-2)}{3 - (-3)} = \frac{2 + 2}{3 + 3} = \frac{4}{6} = \frac{2}{3} \]

Final Answer