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, 7), so \( b = 7 \).

Step2: Calculate slope

Use two points, e.g., (0, 7) and (4, 5). Slope \( m=\frac{5 - 7}{4 - 0}=\frac{-2}{4}=-\frac{1}{2} \).

Step3: Write slope-intercept form

Slope-intercept form is \( y = mx + b \). Substitute \( m = -\frac{1}{2} \) and \( b = 7 \), so \( y = -\frac{1}{2}x + 7 \).

Answer:

\( y = -\frac{1}{2}x + 7 \)