The slope through the line of (4, 7) and (6, 2) can be found by using the slope formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points on the line.
Substituting the values for (4, 7) and (6, 2) into the formula:
m = (2 - 7) / (6 - 4)
m = -5 / 2
m = -2.5
So, the slope of the line through (4, 7) and (6, 2) is -2.5.