What is the slope of the line that passes through the points (4, 5) and (6, 9)?

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Question: What is the slope of the line that passes through the points (4, 5) and (6, 9)?

Options:

Correct Answer: 2

Solution:

The slope m = (9 - 5) / (6 - 4) = 4/2 = 2.

What is the slope of the line that passes through the points (4, 5) and (6, 9)?

What is the slope of the line that passes through the points (4, 5) and (6, 9)?

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

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