Answer:
The line passing through the points (2, -7) and (2, 3) is a vertical line.
When we have two points with the same x-coordinate, the line that passes through them will be vertical. This is because a vertical line has an undefined slope. In this case, the x-coordinate of both points is 2.
A vertical line is a straight line that extends infinitely in the vertical direction. It does not have a defined slope because the change in y-coordinate is always zero.
In this specific case, the line passes through the point (2, -7) and (2, 3). This means that for any x-value of 2, the y-coordinate can be any real number. The line will run parallel to the y-axis and intersect the x-axis at x = 2.
Therefore, the equation of the line passing through the points (2, -7) and (2, 3) can be written as x = 2. This means that for any value of x, the corresponding y-coordinate can be any real number.
I hope this helps! Let me know if you have any further questions.