Question

draw a line representing the
ise\ and a line representing the
un\ of the line. state the slope of the line in simplest form.
click twice to plot each segment.
click a segment to delete it.
graph of a line on a coordinate plane

Explanation:

Step1: Identify two points on the line

The line passes through \((0, 3)\) (the y - intercept) and \((9, 0)\) (where it intersects the x - axis).

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 \(m=\frac{\text{rise}}{\text{run}}=\frac{-3}{9}\). Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 3. So \(m =-\frac{1}{3}\).

Answer:

The slope of the line is \(-\frac{1}{3}\)