If a line is vertical, that means that all x values are the same, regardless of the y value. So if it passes through a point with an x value of -4, all points must have an x value of -4.
So the equation would be x=-4.
y = 4
If a line has an undefined slope, it is vertical. The equation of a vertical line passing through the point (13) is written as ( x = 13 ). This indicates that for all points on the line, the x-coordinate remains constant at 13, while the y-coordinate can take any value.
On a graph, this is a straight vertical line, parallel to the y-axis, passing through the point (a,0) on the x=axis. Its slope is infinite, and it has no y-intercept.
The vertical line passing through the origin
I understand this to mean x = 2. This is the vertical line passing through the (2, 0) or, alternatively, the vertical line passing through the point where x = 2 on the x-axis.
What is the equation of the vertical line passing through (-5,-2)
The equation of a vertical line passing through the point (a, b) is x a.
x = 1
If the slope is undefined, it is a vertical line. Therefore the equation is x=2.
The equation of a vertical line passing through the point (-4,0) is x = -4. Since all points on a vertical line have the same x-coordinate, the equation is simply x = -4.
The slope of a vertical line is undefined and so there cannot be a slope-intercept form of the equation.
y = 4
Slope: -35 passing through (-5, -1) Equation: y = -35x-176
On a graph, this is a straight vertical line, parallel to the y-axis, passing through the point (a,0) on the x=axis. Its slope is infinite, and it has no y-intercept.
The vertical line passing through the origin
I understand this to mean x = 2. This is the vertical line passing through the (2, 0) or, alternatively, the vertical line passing through the point where x = 2 on the x-axis.
It would look like a straight vertical line, i.e. parallel to the y-axis, passing through the point on the x-axis where x=3.