The slope of the line passing through two points can be calculated using the formula:
slope (m) = (y2 – y1) / (x2 – x1)
In this case, the two points are (1, 3) and (4, 7). We can label these points as follows:
- (x1, y1) = (1, 3)
- (x2, y2) = (4, 7)
Now, we substitute the values into the slope formula:
m = (7 – 3) / (4 – 1)
Calculating the differences:
m = 4 / 3
Thus, the slope of the line passing through the points (1, 3) and (4, 7) is 4/3. This means that for every 3 units you move horizontally to the right, the line rises 4 units vertically.