Equations of Lines Parallel to the X-Axis and Y-Axis An equation of a line parallel to the x-axis is of the form y = k , where k is any constant. This...
An equation of a line parallel to the x-axis is of the form y = k, where k is any constant. This line does not have an y-intercept, meaning it does not intersect the y-axis.
Similarly, an equation of a line parallel to the y-axis is of the form x = l, where l is any constant. This line does not have an x-intercept, meaning it does not intersect the x-axis.
These equations are used to represent lines that are perpendicular to both the x-axis and y-axis.
Examples:
The line y = 2x + 1 is parallel to the x-axis because its slope is 2, which is equal to the negative reciprocal of 0.
The line x = 4 is parallel to the y-axis because its slope is 0, which is equal to infinity.
These lines are also called vertical lines because they are perpendicular to both the x-axis and y-axis