Question

Choose the equation that has a slope of zero (m = 0).

A) y = 2x + 0
B) y = 3x
C) y = 3
D) x = -1

Answer 1

The equation that has a slope of zero is C) y = 3. This represents a horizontal line where the slope (m) equals zero.

Step-by-step explanation:

The question asks which equation has a slope of zero (m = 0). In the standard form of a linear equation, y = mx + b, m represents the slope of the line. A slope of zero indicates a horizontal line. Let's consider each option:

• A) y = 2x + 0: The slope (m) is 2, which is not zero.
• B) y = 3x: The slope (m) is 3, which is not zero.
• C) y = 3: This is a horizontal line; the slope (m) is 0, which matches the requirement.
• D) x = -1: This is a vertical line, which does not have a defined slope; it is not zero.

Therefore, the equation with a slope of zero is C) y = 3.