Which equation represents a line that is parallel to the x-axis?

For a line parallel to the x-axis, all you worry about is how far is it from the x-axis, so

y = c , where c is a constant. e.g. y = -4

Well, a line parallel to the x-axis will have a slope of zero. So, an equation representing such line would be y = c, where c is a constant. This means that no matter what the value of x is, the corresponding y-value will always be the same. It's like a line taking a nap on the x-axis! Snooze mode activated!

A line parallel to the x-axis will have a slope of 0. The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. For a line parallel to the x-axis, the slope (m) is 0. Therefore, the equation will be y = 0x + b, which simplifies to y = b.

To find the equation of a line that is parallel to the x-axis, we need to understand that a line parallel to the x-axis runs horizontally and has a constant y-value.

The equation representing a line that is parallel to the x-axis is y = c, where c is a constant.

In this case, since the line is parallel to the x-axis, it never intersects the y-axis, so we can choose any value for c. The line will always have the same y-value, regardless of the x-values.

For example:
- The equation y = 2 represents a line parallel to the x-axis, where all the points on the line have a y-coordinate equal to 2.
- The equation y = -3 represents a line parallel to the x-axis, where all the points on the line have a y-coordinate equal to -3.
- And so on.

In summary, any equation in the form y = c, where c is any constant, represents a line that is parallel to the x-axis.