Question

practice:

1. find the slope of a line that rises 8 units and runs 4 units.
2. describe the slope of a horizontal line.

key ideas

• slope measures the rate of change between two variables.
• slope is written as $m = \frac{rise}{run}$.
• positive slope: line goes up left to right
• negative slope: line goes down left to right
• zero slope: horizontal line
• undefined slope: vertical line

Explanation:

Step1: Apply slope formula for Q7

$m = \frac{\text{rise}}{\text{run}} = \frac{8}{4}$

Step2: Simplify the fraction for Q7

$m = 2$

Step3: Analyze horizontal line for Q8

A horizontal line has no vertical change, so $\text{rise}=0$.
$m = \frac{0}{\text{run}} = 0$

Answer:

1. For question 7: The slope is $2$
2. For question 8: The slope of a horizontal line is $0$, and it is a zero slope (horizontal line with no vertical change).