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 two points

From the graph, the line passes through \((0, 20)\) (y-intercept) and \((80, 0)\) (x-intercept).

Step2: Calculate the slope

Slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 20}{80 - 0}=\frac{-20}{80}=-\frac{1}{4}\).

Step3: Write in slope - intercept form

Slope - intercept form is \(y = mx + b\), where \(m\) is slope and \(b\) is y - intercept. Here, \(m = -\frac{1}{4}\) and \(b = 20\). So the equation is \(y=-\frac{1}{4}x + 20\).

Answer:

\(y = -\frac{1}{4}x + 20\)