Question

decide whether a line with the given slope slants upward or downward or is horizontal or vertical.
m = 0

choose the correct answer below.
a. the line slants upward.
b. the line is horizontal.
c. the line is vertical.
d. the line slants downward.

Explanation:

The slope of a line, \( m \), determines its direction. A slope of \( m = 0 \) means there is no vertical change (rise) for any horizontal change (run), so the line is horizontal. A positive slope (\( m>0 \)) slants upward, a negative slope (\( m < 0 \)) slants downward, and an undefined slope (from division by zero, e.g., vertical lines) is vertical. Since \( m = 0 \), the line is horizontal.

Answer:

B. The line is horizontal.