Question

draw a line representing the “rise” and a line representing the “run” of the line. state the slope of the line in simplest form.
click twice to plot each segment.
click a segment to delete it.
answer
attempt 1 out of 5
slope of the line:

Explanation:

Step1: Identify two points on the line

The line passes through \((0, 3)\) and \((9, 0)\) (we can choose these two points by looking at the graph).

Step2: Calculate the rise and run

Rise is the change in \(y\): \(y_2 - y_1 = 0 - 3 = -3\)
Run is the change in \(x\): \(x_2 - x_1 = 9 - 0 = 9\)

Step3: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{-3}{9}\)

Step4: Simplify the fraction

Simplify \(\frac{-3}{9}\) by dividing numerator and denominator by their greatest common divisor, which is 3: \(\frac{-3\div3}{9\div3}=\frac{-1}{3}\)

Answer:

\(-\frac{1}{3}\)