Question

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

Explanation:

Step1: Identify slope and intercept

Slope-intercept form is \( y = mx + b \), where \( b \) is the y-intercept. From the graph, the line crosses the y-axis at \( (0, 8) \), so \( b = 8 \). To find the slope \( m \), use two points, e.g., \( (0, 8) \) and \( (4, 0) \). Slope \( m=\frac{0 - 8}{4 - 0}=\frac{-8}{4}=-2 \).

Step2: Write the equation

Substitute \( m = -2 \) and \( b = 8 \) into \( y = mx + b \). So the equation is \( y=-2x + 8 \).

Answer:

\( y = -2x + 8 \)