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, - 15), so \(b=-15\).

Step2: Calculate slope

Choose two points, e.g., (0, - 15) and (15, - 18). Slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{-18-(-15)}{15 - 0}=\frac{-3}{15}=-\frac{1}{5}\).

Step3: Write equation

Slope - intercept form is \(y = mx + b\). Substitute \(m =-\frac{1}{5}\) and \(b=-15\): \(y=-\frac{1}{5}x-15\).

Answer:

\(y = -\frac{1}{5}x - 15\)