Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0?

A. y= Ex+ }
B. 3= ¾20
C. y =1
• D.
x = }

1 answer

A line that is parallel to the x-axis has a slope of 0, meaning it maintains a constant y-value. The equation of such a line is of the form \( y = k \), where \( k \) is a constant.

Given the options:

A. \( y = Ex + } \) (This represents a line with a non-zero slope due to the \( Ex \) term) B. \( 3 = \frac{3}{4}20 \) (This is an equation that simplifies to a numeric statement and does not represent a line) C. \( y = 1 \) (This is a horizontal line with a constant y-value of 1, so it has a slope of 0) D. \( x = } \) (This represents a vertical line, not a horizontal one)

The correct answer is C. \( y = 1 \), as it is the equation that represents a line that is parallel to the x-axis and has a slope of 0.