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

Options:

  1. 2
  2. 1
  3. 0.5
  4. 3

Correct Answer: 2

Solution: 

The slope of a line is calculated using the formula (y2 - y1) / (x2 - x1). For the points (2, 3) and (4, 7), the slope is (7 - 3) / (4 - 2) = 4 / 2 = 2.

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

Practice Questions

Q1
In coordinate geometry, what is the slope of the line passing through the points (2, 3) and (4, 7)?
  1. 2
  2. 1
  3. 0.5
  4. 3

Questions & Step-by-Step Solutions

In coordinate geometry, 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. 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 passing through the points (2, 3) and (4, 7) is 2.
  • Slope Calculation – Understanding how to calculate the slope of a line using two points in a coordinate plane.
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