The slope of a line is calculated using the formula:
slope (m) = (y2 – y1) / (x2 – x1)
In this case, we have two points: (3, 5) and (4, 5). Here, (x1, y1) = (3, 5) and (x2, y2) = (4, 5).
Substituting the values into the slope formula:
m = (5 – 5) / (4 – 3)
This simplifies to:
m = 0 / 1
Which means:
m = 0
So, the slope of the line through the points (3, 5) and (4, 5) is 0. This indicates that the line is horizontal, as there is no change in the y-coordinates while the x-coordinates change.