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 (2, 3) and (4, 7)?

Options:

Correct Answer: 2

Solution:

Slope = (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 4 / 2 = 2.

In a coordinate plane, what is the slope of the line passing through the points (2, 3) and (4, 7)?

In a coordinate plane, what is the slope of the line passing through the points (2, 3) and (4, 7)?

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

Slope Calculation – The slope of a line is calculated using the formula (y2 - y1) / (x2 - x1), which represents the change in y over the change in x between two points.