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 the y-intercept

The line crosses the y-axis at (0, 75), so the y-intercept \( b = 75 \).

Step2: Calculate the slope

Use two points, e.g., (0, 75) and (15, 0). The slope \( m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 75}{15 - 0}=\frac{-75}{15}=-5 \).

Step3: Write the equation

Slope - intercept form is \( y = mx + b \). Substituting \( m = -5 \) and \( b = 75 \), we get \( y=-5x + 75 \).

Answer:

\( y = -5x + 75 \)