Question

if a linear function has \\_\\_\\_\\_\\_\\_\\_\\_\\_\\_ slope, then the graph is a horizontal line.

positive
zero

Explanation:

Analyze the slope of a horizontal line

A horizontal line is parallel to the x-axis, meaning there is no change in the vertical direction (\(\Delta y = 0\)) as the horizontal coordinate changes (\(\Delta x
eq 0\)).

$$ m = \frac{\Delta y}{\Delta x} = \frac{0}{\Delta x} = 0 $$

Match with the given options

Since the slope \(m\) is \(0\), a linear function representing a horizontal line has a zero slope.

Answer:

• positive
• zero (Correct answer)