Question

representing the
ise\ and a line representing the
un\ of the line. state 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

From the graph, we can see that the line passes through \((0, 5)\) (the y - intercept) and \((2, - 5)\) (by observing the coordinates of another point on the line).

Step2: Calculate the rise and run

The formula for slope \(m=\frac{\text{rise}}{\text{run}}=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,5)\) and \((x_2,y_2)=(2,-5)\). Then the rise \(=y_2 - y_1=-5 - 5=-10\) and the run \(=x_2 - x_1=2 - 0 = 2\).

Step3: Simplify the slope

The slope \(m=\frac{-10}{2}=- 5\). To plot the rise and run: from the point \((0,5)\), the rise is a vertical segment (downward since the slope is negative) of length 10 units (because the change in y is - 10) and the run is a horizontal segment (to the right) of length 2 units (because the change in x is 2). Then we can see that the slope in simplest form is - 5.

Answer:

The slope of the line is \(-5\)