What is the slope of the line passing through the points (1, 2) and (3, 6)?

What is the slope of the line passing through the points (1, 2) and (3, 6)?

Step 1: Identify the coordinates of the two points. The first point is (1, 2) and the second point is (3, 6).
Step 2: Write down the formula for slope, which is (y2 - y1) / (x2 - x1).
Step 3: Assign the values from the points to the formula. Here, (x1, y1) = (1, 2) and (x2, y2) = (3, 6).
Step 4: Substitute the values into the formula: (6 - 2) / (3 - 1).
Step 5: Calculate the difference in y-coordinates: 6 - 2 = 4.
Step 6: Calculate the difference in x-coordinates: 3 - 1 = 2.
Step 7: Now, put the differences into the formula: 4 / 2.
Step 8: Simplify the fraction: 4 / 2 = 2.
Step 9: The slope of the line is 2.

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