To find the slope of the line that passes through the points (1, 3) and (3, 5), we can use the slope formula:
Slope (m) = (y2 – y1) / (x2 – x1)
In this case, we can assign:
- (x1, y1) = (1, 3)
- (x2, y2) = (3, 5)
Now, substituting these values into the slope formula:
m = (5 – 3) / (3 – 1)
m = 2 / 2
m = 1
Therefore, the slope of the line that passes through the points (1, 3) and (3, 5) is 1.
This means that for every unit you move to the right along the x-axis, the line rises by one unit along the y-axis, indicating a positive and steady increase.