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.
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:
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 .
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 ...
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.
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.
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.
Horizontal & vertical lines. Slope of a horizontal line. Horizontal & vertical lines. Practice: Horizontal & vertical lines. This is the currently selected item. Next tutorial. Intro to slope-intercept form. Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization. ...