To calculate the slope of a line passing through two points, we use the formula:
Slope (m) = (y2 – y1) / (x2 – x1)
In this case, we have the points (1, 4) and (1, 3). Here, let’s identify the coordinates:
- First point (x1, y1): (1, 4)
- Second point (x2, y2): (1, 3)
Substituting these coordinates into the slope formula gives:
m = (3 – 4) / (1 – 1)
This simplifies to:
m = -1 / 0
However, division by zero is undefined in mathematics, which indicates that the slope of this line is also undefined.
Additionally, this situation tells us about the nature of the line itself. Since both points have the same x-coordinate (1), it means the line is vertical. In geometry, vertical lines have an undefined slope.
In summary, the slope of the line that passes through the points (1, 4) and (1, 3) is undefined.