Question

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

Answer 1

A line that is parallel to the x-axis will have the general form of \( y = c \), where \( c \) is a constant. In your message, you mentioned \( y = 7 \), which is indeed a line parallel to the x-axis, since it represents all points where the y-coordinate is 7 regardless of the x-coordinate.

The other equations you provided (\( 7 = 7x \) and \( 7x = 7y \)) do not represent horizontal lines. Let's clarify them:

1. **\( y = 7 \)**: This is the correct equation for a line parallel to the x-axis.

2. **\( 7 = 7x \)** can be rearranged to \( x = 1 \). This represents a vertical line, not horizontal.

3. **\( 7x = 7y \)** can be simplified to \( y = x \). This is a diagonal line with a slope of 1, not parallel to the x-axis.

Thus, the equation of the line that is parallel to the x-axis from your options is:

**\( y = 7 \)**.