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 with x and y axes, a line plotted, instructions to plot rise and run segments)

Explanation:

Step1: Identify two points on the line

The line passes through \((0, 3)\) (the y - intercept) and \((2, - 1)\) (we can also use other points, but these are easy to identify).

Step2: Calculate the rise

Rise is the change in \(y\) - coordinates. So, \(y_2 - y_1=-1 - 3=-4\).

Step3: Calculate the run

Run is the change in \(x\) - coordinates. So, \(x_2 - x_1 = 2-0 = 2\).

Step4: Calculate the slope

The formula for slope \(m=\frac{\text{rise}}{\text{run}}=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the values of rise and run, we get \(m=\frac{-4}{2}=-2\).

Answer:

The slope of the line is \(- 2\)