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, 10), so \( b = 10 \).

Step2: Calculate slope

Use two points, e.g., (0, 10) and (12, 6). Slope \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{6 - 10}{12 - 0}=\frac{-4}{12}=-\frac{1}{3} \).

Step3: Write slope - intercept form

Slope - intercept form is \( y = mx + b \). Substitute \( m = -\frac{1}{3} \) and \( b = 10 \), we get \( y=-\frac{1}{3}x + 10 \).

Answer:

\( y = -\frac{1}{3}x + 10 \)