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

From the graph, the line passes through \((0, 6)\) (the y - intercept) and \((4, - 6)\) (we can also use other points, but these are clear).

Step2: Recall the slope formula

The slope \(m\) of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Let \((x_1,y_1)=(0,6)\) and \((x_2,y_2)=(4, - 6)\).

Step3: Calculate the slope

Substitute the values into the slope formula:
\(m=\frac{-6 - 6}{4-0}=\frac{-12}{4}=- 3\)

Answer:

The slope of the line is \(-3\)