In a coordinate plane, what is the slope of the line passing through the points

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Question: In a coordinate plane, what is the slope of the line passing through the points (1, 2) and (3, 6)?

Options:

Correct Answer: 2

Solution:

The slope m is calculated as m = (y2 - y1) / (x2 - x1) = (6 - 2) / (3 - 1) = 4 / 2 = 2.

In a coordinate plane, what is the slope of the line passing through the points (1, 2) and (3, 6)?

In a coordinate plane, what is the slope of the line passing through the points (1, 2) and (3, 6)?

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

Slope Calculation – The slope of a line is determined by the change in y-coordinates divided by the change in x-coordinates between two points.