Write the equation of the line passing through the given pair of points.
(2,-3) and (2,4)
I will be happy to critique your work on this.
To find the equation of the line passing through the given pair of points (2, -3) and (2, 4), we need to determine the slope of the line and an additional point on the line.
The slope of a line is given by the formula:
m = (y2 - y1) / (x2 - x1)
Let's label the first point as (x1, y1) = (2, -3), and the second point as (x2, y2) = (2, 4).
Using the slope formula, we have:
m = (4 - (-3)) / (2 - 2)
Simplifying, we get:
m = 7 / 0
The slope is undefined because the denominator is zero.
This means that the line passing through these two points is a vertical line, and its equation will be in the form x = a, for some value of a.
In this case, since both points have an x-coordinate of 2, the equation of the line passing through (2, -3) and (2, 4) will be x = 2.