Question

draw a line representing the
ise\ and a line representing the
un\ of the line. state the slop 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 \((0, 2)\) and \((2, -8)\) (or other clear points, let's use these for calculation).

Step2: Calculate the rise and run

Rise is the change in \(y\), \( \Delta y = y_2 - y_1 = -8 - 2 = -10\)
Run is the change in \(x\), \( \Delta x = x_2 - x_1 = 2 - 0 = 2\)

Step3: Calculate the slope

Slope \(m=\frac{\Delta y}{\Delta x}=\frac{-10}{2}=-5\)
(For drawing rise and run: From \((0, 2)\), draw a vertical line down (since rise is negative) 10 units (rise) and a horizontal line right 2 units (run) to \((2, -8)\), or use other points. The key is the slope calculation.)

Answer:

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