Finding the distance between two points

The video tutorial explains how to find the distance between two points on a Cartesian coordinate plane. It introduces both graphical and algebraic methods. The graphical method involves creating a right triangle and using the Pythagorean theorem, while the algebraic method uses the distance formula. The tutorial also covers the importance of understanding X and Y coordinates and their subscripts.

What is the primary purpose of a Cartesian coordinate plane?

• To calculate volume

• To measure angles

• To locate points using X and Y coordinates

• To find the area of shapes

Why are subscripts used in the algebraic method for finding distance?

• To avoid using numbers

• To simplify calculations

• To differentiate between two sets of coordinates

• To make the formula more complex

What geometric shape is formed when using the Pythagorean theorem to find the distance between two points?

• Circle

• Square

• Right triangle

• Rectangle

Which theorem is used to calculate the hypotenuse in a right triangle?

• Fermat's Last Theorem

• Thales' theorem

• Pythagorean theorem

• Euclid's theorem

What is the formula for the distance between two points (X1, Y1) and (X2, Y2)?

• X2 - X1 + Y2 - Y1

• Square root of (X2 - X1)^2 + (Y2 - Y1)^2

• (X2 + X1) / (Y2 + Y1)

• X1 * Y1 + X2 * Y2

How does the distance formula relate to the Pythagorean theorem?

• The distance formula is a simplified version of the Pythagorean theorem

• The distance formula is derived from the Pythagorean theorem

• The distance formula is more complex than the Pythagorean theorem

• They are unrelated

What must be determined before using the distance formula?

• The angle between the points

• Which coordinates are X1, Y1 and X2, Y2

• The slope of the line

• The midpoint of the line