In a coordinate plane, if the coordinates of two points on a line are (2, 3) and

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Question: In a coordinate plane, if the coordinates of two points on a line are (2, 3) and (4, 7), what is the slope of the line?

Options:

Correct Answer: 2

Solution:

The slope is calculated as (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 4/2 = 2.

In a coordinate plane, if the coordinates of two points on a line are (2, 3) and (4, 7), what is the slope of the line?

In a coordinate plane, if the coordinates of two points on a line are (2, 3) and (4, 7), what is the slope of the line?

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

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