What is the equation of the line that passes through the point left bracket, 8, comma, 4, right bracket(8,4) and has an undefined slope?
A line with an undefined slope is a vertical line. Vertical lines have the form x = a, where 'a' is the x-coordinate of any point on the line. In this case, the line passes through the point (8,4), so the equation of the line is x = 8.
If the slope of a line is undefined, it means the line is vertical. In this case, since the line passes through the point (8,4), the equation will be in the form x = constant.
Therefore, the equation of the line passing through the point (8,4) with an undefined slope is x = 8.
To find the equation of a line with an undefined slope (a vertical line), we need to know only the x-coordinate of the point. Imagining that you have a vertical line passing through the point (8,4), the x-coordinate is 8.
The equation of a vertical line passing through a point with an x-coordinate of a is given by the equation:
x = a
In this case, since the x-coordinate of the point is 8, the equation of the line is:
x = 8