Question

write the equation of this line in slope-intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at (0, -6), so \( b = -6 \).

Step2: Calculate slope

Use two points, e.g., (0, -6) and (8, -10). Slope \( m = \frac{-10 - (-6)}{8 - 0} = \frac{-4}{8} = -\frac{1}{2} \).

Step3: Write slope-intercept form

Slope-intercept form is \( y = mx + b \). Substitute \( m = -\frac{1}{2} \) and \( b = -6 \): \( y = -\frac{1}{2}x - 6 \).

Answer:

\( y = -\frac{1}{2}x - 6 \)