Let's start by recalling the Slope Formula.
m=y_2- y_1/x_2- x_1
The above formula is usually used to determine the slope m of the line that connects two given points, ( x_1, y_1) and ( x_2, y_2). In this case, however, we are given the slope of a line and two points, one of them with a missing coordinate.
Slope:& Undefined
Point1:& ( 3, 5)
Point2:& ( x, 2)
When we substitute these values into the Slope Formula, it does not matter which point we choose to use as ( x_1, y_1) or ( x_2, y_2). Both of them will give us the same result!
m=5- 2/3- x or m=2- 5/x- 3
We are told that the slope of the line is undefined — this means that when we solve the equation, we will end up with division by zero — which results in a vertical line. The only way we get division by zero is if we subtract 3 by 3.
m =5- 2/3- 3 m =5- 2/0
This means the value of x must be 3.
