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).
For a vertical line the equation will be x=constant so if you wanted the equstion of the vertical line that crosses the x axis at 5 it would be x=5.
If you want the equations of the horizontal and vertical axis then they are:
horizontal axis: y=0
vertical axis: x=0
A vertical line has the equation [ x = a number ]. A horizontal line has the equation [ y = a number ].
This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?
finding vertical asymptotes is easy. lets use the equation y = (2x-2)/((x^2)-2x-3) since its a rational equation, all we have to do to find the vertical asymptotes is find the values at which the denominator would be equal to 0. since this makes it an undefined equation, that is where the asymptotes are. for this equation, -1 and 3 are the answers for the vertical ayspmtotes. the horizontal asymptotes are a lot more tricky. to solve them, simplify the equation if it is in factored form, then divide all terms both in the numerator and denominator with the term with the highest degree. so the horizontal asymptote of this equation is 0.
The equation of a vertical line x = 5 or the equation of a horizontal line y = 5.
No. It represents a horizontal line.
The slope (or gradient) of a vertical or horizontal line is zero.
A vertical line HAS NO slope! The slope is undefined in this case.
Vertical is up and horizontal is across
A line with no slope is a vertical line. The slope is undefined, and cannot be represented by a real number. A horizontal line has a slope, but the slope is zero. Consider the "y = mx + b" form of the straight line equation. For a horizontal line the slope is zero, so y = 0x +b => y = b, which is the equation of a horizontal line. For a vertical line, there is no slope, so you can't substitute for m; the equation can't be written in the form y = mx +b. The equation of a vertical line has the form x = a.
For a detailed explanation to this equation check out regentsprep.org/regents/math/geometry/gcg1/eqlines.htm
Vertical and horizontal
1