To find the slope of a line that passes through two points, we use the formula:
slope (m) = (y2 – y1) / (x2 – x1)
Here, we have two points: (1, 2) and (3, 8). In this case:
- (x1, y1) = (1, 2)
- (x2, y2) = (3, 8)
Now, we can plug in the values into the slope formula:
m = (8 – 2) / (3 – 1)
This simplifies to:
m = 6 / 2
Which further simplifies to:
m = 3
So, the slope of the line passing through the points (1, 2) and (3, 8) is 3.