Question

Which equation represents a line with a slope of zero?
y = 2 x
y = negative one-half x + one-half
y = 4
x = negative 5

Answer 1

An equation that represents a line with a slope of zero is a horizontal line. In this case, the equation \( y = 4 \) represents a horizontal line that crosses the y-axis at 4, which means it has a slope of zero.

The other options represent lines with non-zero slopes or vertical lines:
- \( y = 2x \) has a slope of 2.
- \( y = -\frac{1}{2}x + \frac{1}{2} \) has a slope of -\(\frac{1}{2}\).
- \( x = -5 \) is a vertical line.

Thus, the correct answer is:
**\( y = 4 \)**.