Analytic Geometry Calculator

Calculate relationships between points on a coordinate plane including distance, midpoint, and slope using fundamental coordinate geometry formulas. Worked example: A(1, 2) and B(4, 6) → distance √(9+16) = 5, midpoint (2.5, 4), slope (6−2)/(4−1) = 1.33.

1. 1

   Step 1

   Enter the coordinates of the first point (x1, y1)

2. 2

   Step 2

   Enter the coordinates of the second point (x2, y2)

3. 3

   Step 3

   The calculator computes the distance using the distance formula

4. 4

   Step 4

   The midpoint is calculated by averaging the coordinates

5. 5

   Step 5

   The slope is calculated by dividing the difference in y by the difference in x

• 1

  The distance formula is derived from the Pythagorean theorem

• 2

  A positive slope indicates an ascending line, negative indicates descending

• 3

  A horizontal line has zero slope and a vertical line has undefined slope

• 4

  The midpoint divides the line segment into two equal halves

• 5

  Parallel lines have the same slope

• Reversing the order of subtraction when calculating slope (must subtract in the same order)

• Forgetting to square the differences in the distance formula

• Confusing the x-coordinate with the y-coordinate

• Dividing by zero when calculating the slope of a vertical line