Question

question
write the equation of the line in fully simplified slope-intercept form.
answer
answer:

Explanation:

Step1: Identify slope and intercept

Slope-intercept form is \( y = mx + b \), where \( m \) is slope and \( b \) is y-intercept. From the graph, the line crosses y-axis at \( (0, -6) \), so \( b = -6 \). To find slope, use two points (e.g., \( (0, -6) \) and \( (3, -5) \)). Slope \( m=\frac{-5 - (-6)}{3 - 0}=\frac{1}{3} \).

Step2: Write the equation

Substitute \( m = \frac{1}{3} \) and \( b = -6 \) into \( y = mx + b \). So the equation is \( y=\frac{1}{3}x - 6 \).

Answer:

\( y=\frac{1}{3}x - 6 \)