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: Identify two points on the line

Looking at the graph, we can see that the line passes through the points \((0, -5)\) and \((2, -1)\) (or other clear points, but let's use these for calculation).

Step2: Calculate the rise

Rise is the change in \(y\)-coordinates, so \(y_2 - y_1=-1 - (-5)= -1 + 5 = 4\).

Step3: Calculate the run

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

Step4: Calculate the slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{4}{2} = 2\). (Alternatively, using another pair of points like \((1, -3)\) and \((2, -1)\), rise \(=-1-(-3)=2\), run \(=2 - 1 = 1\), slope \(=\frac{2}{1}=2\))

Answer:

The slope of the line is \(\boldsymbol{2}\). (For drawing the rise and run: from a point on the line, draw a vertical segment for rise (upwards if positive) and a horizontal segment for run (to the right) connecting to another point on the line, then calculate slope as rise over run.)