What is the slope of the line passing through the points (1, 2) and (3, 6)? (202

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Question: What is the slope of the line passing through the points (1, 2) and (3, 6)? (2020) 2020

Options:

Correct Answer: 2

Exam Year: 2020

Solution:

Slope = (6-2)/(3-1) = 4/2 = 2.

What is the slope of the line passing through the points (1, 2) and (3, 6)? (2020) 2020

What is the slope of the line passing through the points (1, 2) and (3, 6)? (2020) 2020

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

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