What is the slope of the line passing through the points (2, 3) and (5, 11)?

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Question: What is the slope of the line passing through the points (2, 3) and (5, 11)?

Options:

Correct Answer: 3

Solution:

The slope m of a line through two points (x1, y1) and (x2, y2) is given by m = (y2 - y1) / (x2 - x1). Here, m = (11 - 3) / (5 - 2) = 8 / 3.

What is the slope of the line passing through the points (2, 3) and (5, 11)?

What is the slope of the line passing through the points (2, 3) and (5, 11)?

Step 1: Identify the coordinates of the two points. The first point is (2, 3) and the second point is (5, 11).
Step 2: Label the coordinates. Let (x1, y1) = (2, 3) and (x2, y2) = (5, 11).
Step 3: Use the slope formula, which is m = (y2 - y1) / (x2 - x1).
Step 4: Substitute the values into the formula. This means m = (11 - 3) / (5 - 2).
Step 5: Calculate the difference in the y-coordinates: 11 - 3 = 8.
Step 6: Calculate the difference in the x-coordinates: 5 - 2 = 3.
Step 7: Now, put these values into the formula: m = 8 / 3.
Step 8: The slope of the line is 8/3.

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