Question

write the equation of the line in fully simplified slope-intercept form.
answer attempt 2 out of 2
answer:

Explanation:

Step1: Identify the y-intercept

The line crosses the y-axis at (0, -8), so the y-intercept \( b = -8 \).

Step2: Calculate the slope

Choose two points, e.g., (0, -8) and (2, -9). The slope \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-9 - (-8)}{2 - 0} = \frac{-1}{2} = -\frac{1}{2} \).

Step3: Write the equation

Slope-intercept form is \( y = mx + b \). Substituting \( m = -\frac{1}{2} \) and \( b = -8 \), we get \( y = -\frac{1}{2}x - 8 \).

Answer:

\( y = -\frac{1}{2}x - 8 \)