What is the slope of the line passing through the points (2, 3) and (4, 7)?

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Question: What is the slope of the line passing through the points (2, 3) and (4, 7)?

Options:

Correct Answer: 2

Solution:

Slope = (7-3)/(4-2) = 4/2 = 2.

What is the slope of the line passing through the points (2, 3) and (4, 7)?

What is the slope of the line passing through the points (2, 3) and (4, 7)?

Step 1: Identify the two points given in the question. The points are (2, 3) and (4, 7).
Step 2: Write down the coordinates of the first point. The first point is (2, 3), where 2 is the x-coordinate and 3 is the y-coordinate.
Step 3: Write down the coordinates of the second point. The second point is (4, 7), where 4 is the x-coordinate and 7 is the y-coordinate.
Step 4: Use the slope formula, which is (y2 - y1) / (x2 - x1). Here, (x1, y1) is (2, 3) and (x2, y2) is (4, 7).
Step 5: Substitute the values into the formula: (7 - 3) / (4 - 2).
Step 6: Calculate the difference in the y-coordinates: 7 - 3 = 4.
Step 7: Calculate the difference in the x-coordinates: 4 - 2 = 2.
Step 8: Now, put these values back into the formula: 4 / 2.
Step 9: Simplify the fraction: 4 / 2 = 2.
Step 10: The slope of the line passing through the points (2, 3) and (4, 7) is 2.

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