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
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.
The equation is x = 2
What is the equation of the vertical line passing through (-5,-2)
x = 1
If the slope is undefined, it is a vertical line. Therefore the equation is x=2.
The slope of a vertical line is undefined and so there cannot be a slope-intercept form of the equation.
y = 4
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.
Slope: -35 passing through (-5, -1) Equation: y = -35x-176
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.
y = (x-4)(x-4) * * * The factors above are shown correctly. The axis of symmetry is the vertical line passing through the vertex, which is the point located at (4, 0). The equation of that line is x = 4, which is the answer you requested.
The equation is x = 2