To find the slope of a line that passes through two points, you can use the formula:
slope (m) = (y2 – y1) / (x2 – x1)
Where:
- (x1, y1) are the coordinates of the first point
- (x2, y2) are the coordinates of the second point
In this case, we have the points (1, 3) and (3, 5). Assigning the coordinates:
- (x1, y1) = (1, 3)
- (x2, y2) = (3, 5)
Now plug the values into the slope formula:
m = (5 – 3) / (3 – 1)
This simplifies to:
m = 2 / 2 = 1
Thus, 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 moves up one unit on the y-axis, indicating a linear relationship between the two variables.