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

Practice Questions

Q1
In a coordinate plane, what is the slope of the line passing through the points (1, 2) and (3, 6)?
  1. 2
  2. 3
  3. 1
  4. 4

Questions & Step-by-Step Solutions

In a coordinate plane, 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.
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