Question

enter your answers in the boxes.
y = \boxed{}x + \boxed{}

Explanation:

Step1: Identify the y-intercept

The y-intercept (b) is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at (0, -2), so \( b = -2 \).

Step2: Calculate the slope (m)

Choose two points on the line, e.g., (-8, 2) and (0, -2). The slope formula is \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Substituting the points: \( m = \frac{-2 - 2}{0 - (-8)} = \frac{-4}{8} = -\frac{1}{2} \).

Step3: Write the equation

The slope-intercept form is \( y = mx + b \). Substituting \( m = -\frac{1}{2} \) and \( b = -2 \), we get \( y = -\frac{1}{2}x - 2 \).

Answer:

\( y = \boxed{-\dfrac{1}{2}}x + \boxed{-2} \)