Questions: Find the slopes of the lines I₁, I₂, I₃, and I₄ in the figure below.

Solution Steps

To find the slope of each line, we need to identify two points on each line. The slope \( m \) is calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

For line \( l_1 \):

• Point 1: \((-3, 7)\)
• Point 2: \((0, 0)\)

\[ m_{l_1} = \frac{0 - 7}{0 + 3} = \frac{-7}{3} = -\frac{7}{3} \]

For line \( l_2 \):

• Point 1: \((-3, -3)\)
• Point 2: \((3, 3)\)

\[ m_{l_2} = \frac{3 - (-3)}{3 - (-3)} = \frac{3 + 3}{3 + 3} = \frac{6}{6} = 1 \]

Final Answer