Understanding the Distance Formula

The video tutorial explains how to determine the length of a segment on the coordinate plane. It begins by labeling the endpoints and introduces the distance formula, which is derived from the Pythagorean theorem. The tutorial demonstrates how to apply the formula to calculate the segment length and simplifies the result to find the approximate distance.

What is the first step in determining the length of a segment on the coordinate plane?

• Find the slope of the segment.

• Draw a perpendicular bisector.

• Label the endpoints of the segment.

• Calculate the midpoint of the segment.

The distance formula is derived from which mathematical theorem?

• The Fundamental Theorem of Calculus

• The Central Limit Theorem

• The Binomial Theorem

• The Pythagorean Theorem

In the distance formula, what do 'a' and 'b' represent?

• The angles of the triangle

• The lengths of the two legs of a right triangle

• The coordinates of the midpoint

• The slope and y-intercept of the line

What is the value of X2 - X1 in the given example?

• 10

• 8

• 12

• 14

What is the approximate length of the segment calculated using the distance formula?

• 16.7

• 15.6

• 13.5

• 12.4