Answer: A vertical line has an undefined slope, so we cannot use the slope-intercept form (y = mx + b) to write the equation of the line. Instead, we can use the point-slope form (y - y1 = m(x - x1)) where the slope m is undefined and we have a point (x1,y1) on the line.
Since the line goes through the point (8,4), we can use the point (8,4) in the point-slope form:
y - 4 = undefined(x - 8)
We can simplify this equation by dropping the undefined slope and replacing it with a variable:
y = kx + b
Where k is the slope and b is the y-intercept.
The equation of the vertical line that goes through the point (8,4) is x = 8
It's worth noting that the x-coordinate of a vertical line doesn't change, thus it's equal to a constant value and the equation for a vertical line is of the form x=k where k is a constant.
Explanation: