To find the slope of a line that passes through two points, you can use the formula:
slope (m) = (y2 – y1) / (x2 – x1)
Here, we can assign the points (2, 5) and (1, 4) as follows:
- (x1, y1) = (2, 5)
- (x2, y2) = (1, 4)
Now substituting the values into the formula:
m = (4 – 5) / (1 – 2)
Calculating the difference in the y-coordinates:
- 4 – 5 = -1
Now calculating the difference in the x-coordinates:
- 1 – 2 = -1
Putting it all together:
m = -1 / -1 = 1
So, the slope of the line that passes through the points (2, 5) and (1, 4) is 1.