The Distance Formula

OverviewThis set of tutorials provides 21 examples that involve finding the distance between two points by using the Distance Formula. Given the coordinates of two points, using the Distance Formula allows us to find the distance between the two points. The Distance Formula itself uses the Pythagorean Theorem as the basis for the formula.

Example 1: Both points in Quadrant 1, whole number distance.

Example 2: Both points in Quadrant 1, distance as an irrational number.

Example 3: Both points in Quadrant 1, along a horizontal line.

Example 4: Both points in Quadrant 1, along a vertical line.

Example 5: A point in Q1 and a point in Q2, whole number distance.

Example 6: A point in Q1 and a point in Q2, distance as an irrational number.

Example 7: A point in Q1 and a point in Q2, distance along a horizontal line.

Example 8: A point in Q1 and a point in Q3, whole number distance.

Example 9: A point in Q1 and a point in Q4, rational number distance.

Example 10: A point in Q1 and a point in Q4, distance as an irrational number.

Example 11: A point in Q1 and a point in Q4, along a vertical line.

Example 12: A point in Q2 and a point in Q3, whole number distance.

Example 13: A point in Q2 and a point in Q3, distance as an irrational number.

Example 14: A point in Q2 and a point in Q3, along a vertical line.

Example 15: A point in Q3 and a point in Q4, whole number distance.

Example 16: A point in Q3 and a point in Q4, distance as an irrational number.

Example 17: A point in Q3 and a point in Q4, along a horizontal line.

Example 18: A point on the x-axis and point on the y-axis, whole number distance.

Example 19: A point on the x-axis and point on the y-axis, distance as an irrational number.

Example 20: A point on the x-axis and point on the y-axis, along a horizontal line.

Example 21: A point on the x-axis and point on the y-axis, along a vertical line.