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Since x = 4 x = 4 is a vertical line, there is no y-intercept and the slope is undefined.
A vertical line is a line on the coordinate plane where all the points on the line have the same x-coordinate. The equation of a vertical line is given by x = a, or x = -a, where x is the x coordinate of any point on the line and a is where the line crosses the x-intercept.
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Worked examples identifying the equations and slope of horizontal and vertical lines.
the line x = 4 is therefore perpendicular to the x axis because if a line is perpendicular to another line than it's parallel line is also perpendicular to that line.
Sep 11, 2021 · Definition: Vertical Line. The equation of a vertical line is of the form x = c x = c, where c c is any real number. The vertical line will always intersect the x x −axis at the point (c, 0) ( c, 0). The slope of a vertical line is undefined.
Equations of horizontal and vertical lines only have one variable. The equation x = 4 represents a vertical line which crosses the x-axis at the point (4, 0).
In a coordinate plane, a vertical line is defined as a line that is parallel to the y-axis. The y-axis itself is a vertical line, so it follows that any line parallel to it is also a vertical line. Below is the graph of a vertical line that has an x-intercept of (h, 0).
Just as a "Z" (with its two horizontal lines) is not the same as an "N" (with its two vertical lines), so also "Zero" slope (for a horizontal line) is not the same as "No" slope (for a vertical line). The number "zero" exists, so horizontal lines do indeed have a slope.
Graphs, equations and properties of vertical lines explained with pictures and examples.
