What is the slope of a line that passes through the points (1,3) and (7,5) in the xy-plane?
The formula to calculate the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
Using the points (1,3) and (7,5):
m = (5-3) / (7-1)
m = 2 / 6
m = 1/3
Therefore, the slope of the line passing through the points (1,3) and (7,5) is 1/3.