Question

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

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at (0, 4), so \( b = 4 \).

Step2: Calculate slope

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

Step3: Write slope-intercept form

Slope-intercept form is \( y = mx + b \). Substitute \( m = -1 \) and \( b = 4 \): \( y=-x + 4 \).

Answer:

\( y = -x + 4 \)