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Ok, if y always equals 0, then the points never go up or down, and x can equal anything, so the line is horizontal. If x always equals 0, then the line can never shift left or right, and y can equal anything, so the line is vertical.

www.coolmath.com/algebra/08-lines/08-graphing-horizontal-vertical...

And y is locked in at -2. So, what would this look like? So, what's the slope of this line? Grab two points and see? The slope of a horizontal line is 0! Since it's always hard to remember when these guys are horizontal and when they are vertical, I've got a sentence that will always save you... When you see y = -2, say this:

www.varsitytutors.com/.../topics/horizontal-vertical-lines

Horizontal and Vertical Lines 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 ) . Every ordered pair with 4 as its first coordinate is a solution .

en.wikipedia.org/wiki/Horizontal_and_vertical

A horizontal line is any line normal to a vertical line. Horizontal lines do not cross each other. Vertical lines do not cross each other. Not all of these elementary geometric facts are true in the 3-D context. In three dimensions. In the three-dimensional case, the situation is more complicated as now one has horizontal and vertical planes in ...

Parallel lines have the same slope. So if you put the equation 4x + y -1 = 0 into the slope-intercept form of the equation of a line (y = mx + b), you can read the slope, m, from it.

Answer . The equation of a horizontal line is y = constant (e.g you might have y=2 if your horizontal line is 2 up the y axis). Fora vertical line the equation will be x=constant so if you wanted ...

www.onemathematicalcat.org/.../online_problems/horiz_vert_lines.htm

The \$\,y\$-axis is a vertical line; its equation is \$\,x = 0\,\$. All other vertical lines are parallel to the \$\,y\$-axis. All vertical lines are perpendicular to the \$\,x\$-axis. Vertical lines have no slope; i.e., the slope is not defined. Equations of the form \$\,y = k\,\$ graph as horizontal lines.

www.algebra.com/algebra/homework/Linear-equations/Linear...

Explain why the line x = 4 is a vertical line.-----The x and y axes are perpendicular. Usually, the x-axis is shown as horizontal and the y-axis as vertical. So vertical means parallel to the y-axis. ===== For the function x = 4, there is no mention of y. This means that regardless of the value of y, x=4.

www.mathwarehouse.com/.../linear_equation/vertical-line.php

Other traits of Vertical lines. The equation of a vertical line does NOT have a y-intercept since a vertical line never crosses the y-axis. The slope of a vertical line is undefined because the denominator of the slope (the change in X) is zero; Vertical lines help determine if a relation is a function in math.