To find the equation of a line in standard form through two given points, we typically need two distinct points. However, in this case, both points are the same: (6, 4) and (6, 4).
Since both points are identical, this means that they do not define a line with a slope. Instead, what we have here is a single point in the coordinate system. Therefore, we cannot derive a traditional linear equation with a slope-intercept or standard form.
If we consider the characteristics of the points, we could say that the ‘line’ through (6, 4) does not exist in the traditional sense, but we can denote the point itself. You might say that the equation is undefined, as we can’t express it as a linear equation.
In the context of a vertical line, the x-coordinate remains constant while the y-coordinate can vary. However, since there are no two distinct points in this case, we conclude there’s no line to describe.