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, -40), so \( b = -40 \).

Step2: Calculate slope

Use two points, e.g., (0, -40) and (40, -60). Slope \( m = \frac{-60 - (-40)}{40 - 0} = \frac{-20}{40} = -\frac{1}{2} \).

Step3: Write slope-intercept form

Slope-intercept form is \( y = mx + b \). Substitute \( m = -\frac{1}{2} \) and \( b = -40 \): \( y = -\frac{1}{2}x - 40 \).

Answer:

\( y = -\frac{1}{2}x - 40 \)