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: Find y-intercept (b)

Line crosses y-axis at (0, -5), so \( b = -5 \).

Step2: Calculate slope (m)

Use points (-5, 0) and (0, -5). Slope \( m = \frac{-5 - 0}{0 - (-5)} = \frac{-5}{5} = -1 \).

Step3: Write equation

Slope-intercept form: \( y = mx + b \). Substitute \( m = -1 \), \( b = -5 \).

Answer:

\( y = -x - 5 \)