To find the slope of the line that passes through the points (4, 7) and (2, 3), we can use the formula for slope, which is given by:
slope (m) = (y2 – y1) / (x2 – x1)
Here, we can assign the coordinates of our points as follows:
- (x1, y1) = (4, 7)
- (x2, y2) = (2, 3)
Now, we just plug these values into the slope formula:
m = (3 – 7) / (2 – 4)
Calculating the differences gives:
m = (-4) / (-2)
This simplifies to:
m = 2
Thus, the slope of the line that passes through the points (4, 7) and (2, 3) is 2.