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.

Explanation:

Step1: Select two points on the line

Let's take two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line. Suppose the line passes through \((0, - 3)\) and \((4,-2)\).

Step2: Calculate the rise

The rise is the change in the y - values. \(y_2 - y_1=-2-(-3)=-2 + 3=1\).

Step3: Calculate the run

The run is the change in the x - values. \(x_2 - x_1=4 - 0=4\).

Step4: Calculate the slope

The slope \(m\) of a line is given by the formula \(m=\frac{\text{rise}}{\text{run}}\). So \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{1}{4}\).

Answer:

The slope of the line is \(\frac{1}{4}\)