To find the slope of the line passing through the points (3, 4) and (2, 1), we can use the formula for slope, which is:
slope (m) = (y2 – y1) / (x2 – x1)
In this case, we can assign:
- (x1, y1) = (3, 4)
- (x2, y2) = (2, 1)
Now we can substitute these values into the slope formula:
m = (1 – 4) / (2 – 3)
Calculating the differences, we get:
m = (-3) / (-1)
When we simplify this, we find:
m = 3
Therefore, the slope of the line passing through the points (3, 4) and (2, 1) is 3. This means that for every unit you move to the right along the x-axis, the line rises 3 units on the y-axis.