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

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

Options:

Correct Answer: 2

Solution:

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

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

In coordinate geometry, 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 – Understanding how to calculate the slope of a line using two points in a coordinate plane.
Coordinate Geometry – Applying the principles of coordinate geometry to determine the relationship between points on a graph.