What is the slope of the line passing through the points (1, 2) and (4, 6)?

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Question: What is the slope of the line passing through the points (1, 2) and (4, 6)?

Options:

Correct Answer: 2

Solution:

Slope formula: m = (y2 - y1) / (x2 - x1) = (6 - 2) / (4 - 1) = 4 / 3.

What is the slope of the line passing through the points (1, 2) and (4, 6)?

What is the slope of the line passing through the points (1, 2) and (4, 6)?

Step 1: Identify the coordinates of the two points. The first point is (1, 2) and the second point is (4, 6).
Step 2: Label the coordinates. Let (x1, y1) = (1, 2) and (x2, y2) = (4, 6).
Step 3: Use the slope formula: m = (y2 - y1) / (x2 - x1).
Step 4: Substitute the values into the formula: m = (6 - 2) / (4 - 1).
Step 5: Calculate the difference in y-coordinates: 6 - 2 = 4.
Step 6: Calculate the difference in x-coordinates: 4 - 1 = 3.
Step 7: Now substitute these results back into the formula: m = 4 / 3.
Step 8: The slope of the line is 4/3.

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