To find the slope of the line that passes through the two points (3, 2) and (5, 12), we can use the formula for the slope (m) between two points:
m = (y2 – y1) / (x2 – x1)
Here, (x1, y1) is the first point (3, 2) and (x2, y2) is the second point (5, 12).
Plugging in the values:
- x1 = 3, y1 = 2
- x2 = 5, y2 = 12
Now, substituting these into the slope formula, we have:
m = (12 – 2) / (5 – 3)
Calculating this gives:
m = 10 / 2
m = 5
Therefore, the slope of the line that passes through the points (3, 2) and (5, 12) is 5.