Choose equation of the line that's parallel to the x-axis y = 7 y= 7x X = 7 x = 7y

1 answer

The equation of a line that is parallel to the x-axis is in the form \( y = k \), where \( k \) is a constant. In your options, the correct choice that represents a line parallel to the x-axis is:

\( y = 7 \)

The other options represent different types of lines:

  • \( y = 7x \) is a line with a slope of 7 (not parallel to the x-axis).
  • \( x = 7 \) is a vertical line (not parallel to the x-axis).
  • \( x = 7y \) is also not parallel to the x-axis; it represents a relationship between \( x \) and \( y \) that can be rewritten as \( y = \frac{x}{7} \) (a diagonal line).

So, the correct answer is \( y = 7 \).