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, the line passes through \((0, -8)\) and \((8, -4)\) (we can choose these two points as they are easy to identify from the grid).

Step2: Calculate the rise

Rise is the change in \(y\)-coordinates. So, \( \text{Rise} = y_2 - y_1 = -4 - (-8) = -4 + 8 = 4 \).

Step3: Calculate the run

Run is the change in \(x\)-coordinates. So, \( \text{Run} = x_2 - x_1 = 8 - 0 = 8 \).

Step4: Calculate the slope

Slope \( m = \frac{\text{Rise}}{\text{Run}} = \frac{4}{8} \). Simplifying this fraction by dividing numerator and denominator by 4, we get \( m = \frac{1}{2} \).

Answer:

The slope of the line is \(\frac{1}{2}\)