The slope of a line is a measure of its steepness and is calculated using two distinct points on that line. In this case, we have the points (2, 5) and (1, 5).
The formula for calculating the slope (m) between two points
(x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Now let’s assign our points:
- (x1, y1) = (2, 5)
- (x2, y2) = (1, 5)
Substituting the values into the formula gives us:
m = (5 - 5) / (1 - 2)
This simplifies to:
m = 0 / -1
Since the numerator is 0, we find that:
m = 0
Thus, the slope of the line passing through the points (2, 5) and (1, 5) is 0. This indicates that the line is horizontal, meaning that there is no change in the y-coordinate as you move along the line, regardless of the x-coordinate.
In summary, when two points share the same y-coordinate, as these two do, the slope of the line connecting them is zero, resulting in a perfectly horizontal line.