Question

find the slope of the line graphed below.

Explanation:

Step1: Identify two points on the line

From the graph, we can see two clear points. Let's assume the coordinates of the first point (let's call it \( (x_1, y_1) \)) are \( (-4, 3) \) and the second point ( \( (x_2, y_2) \)) are \( (2, 0) \). (We can check the grid: moving left 4 units from the origin (x=-4) and up 3 units (y=3) for the first point, and right 2 units (x=2) and y=0 for the second point.)

Step2: Use 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 the formula \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Substitute \( x_1=-4 \), \( y_1 = 3 \), \( x_2=2 \), \( y_2=0 \) into the formula:

\( m=\frac{0 - 3}{2 - (-4)}=\frac{-3}{2 + 4}=\frac{-3}{6}=-\frac{1}{2} \)

Answer:

\( -\frac{1}{2} \)