In a coordinate plane, if the coordinates of two points are (2, 3) and (2, 7), w

Practice Questions

Q1
In a coordinate plane, if the coordinates of two points are (2, 3) and (2, 7), what is the slope of the line connecting them?
  1. 0
  2. Undefined
  3. 1
  4. -1

Questions & Step-by-Step Solutions

In a coordinate plane, if the coordinates of two points are (2, 3) and (2, 7), what is the slope of the line connecting them?
  • Step 1: Identify the coordinates of the two points. The first point is (2, 3) and the second point is (2, 7).
  • Step 2: Label the coordinates. Let (x1, y1) = (2, 3) and (x2, y2) = (2, 7).
  • Step 3: Use the slope formula: slope = (y2 - y1) / (x2 - x1).
  • Step 4: Substitute the values into the formula: slope = (7 - 3) / (2 - 2).
  • Step 5: Calculate the difference in y-coordinates: 7 - 3 = 4.
  • Step 6: Calculate the difference in x-coordinates: 2 - 2 = 0.
  • Step 7: Now, the slope is 4 / 0.
  • Step 8: Since you cannot divide by zero, the slope is undefined.
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