Question

find the slope of each line. (example 2)
2.
3.

Explanation:

Problem 2:

Step 1: Recall slope formula

The slope \( m \) of a line is given by \( m=\frac{\text{rise}}{\text{run}} \), where rise is the change in \( y \)-values and run is the change in \( x \)-values.

Step 2: Identify rise and run from the graph

From the graph, we can see that for a horizontal run (change in \( x \)) of 3 units (for example, from \( x=-3 \) to \( x = 0\)), the vertical rise (change in \( y \)) is 1 unit (from \( y=-1 \) to \( y = 0\)). So, rise \(= 1\), run \(= 3\).

Step 3: Calculate the slope

Using the slope formula \( m=\frac{\text{rise}}{\text{run}}=\frac{1}{3} \).

Step 1: Recall slope formula

The slope \( m \) of a line is given by \( m=\frac{\text{rise}}{\text{run}} \), where rise is the change in \( y \)-values and run is the change in \( x \)-values.

Step 2: Identify rise and run from the graph

From the graph, we can see that for a horizontal run (change in \( x \)) of 2 units (for example, from \( x=-2 \) to \( x = 0\)), the vertical rise (change in \( y \)) is -1 unit (since the line is decreasing, from \( y = 1\) to \( y = 0\)). So, rise \(=- 1\), run \(= 2\).

Step 3: Calculate the slope

Using the slope formula \( m=\frac{\text{rise}}{\text{run}}=\frac{- 1}{2}=-\frac{1}{2} \).

Answer:

\(\frac{1}{3}\)

Problem 3: