Understanding the Distance Formula

The video tutorial explains how to use the distance formula to find the distance between two points on a graph. It begins by graphing points X and Y, then labeling them as ordered pairs. The tutorial demonstrates substituting these values into the distance formula and simplifying the equation to find the distance. The process includes careful attention to signs and arithmetic operations, resulting in the final distance calculation.

What is the initial step in using the distance formula?

• Graphing the points on a coordinate plane

• Calculating the midpoint

• Determining the angle between points

• Finding the slope

How are the ordered pairs labeled in the distance formula?

• X1, Y1 and X2, Y2

• A1, B1 and A2, B2

• P1, Q1 and P2, Q2

• M1, N1 and M2, N2

What is the next step after labeling the ordered pairs?

• Subtracting the X-coordinates

• Dividing the coordinates

• Adding the Y-coordinates

• Multiplying the coordinates

Why is it important to use the same ordered pair for the first set in the formula?

• To maintain consistency in calculations

• To avoid using the distance formula

• To make the equation more complex

• To ensure the result is a fraction

What happens when you subtract a negative number in the distance formula?

• You divide the numbers

• You multiply the numbers

• You subtract the numbers

• You add the numbers

What is the result of squaring a negative number?

• An imaginary number

• A negative number

• A positive number

• Zero

What does the double negative in the equation indicate?

• An addition operation

• A subtraction operation

• A multiplication operation

• A division operation

What is the final step in calculating the distance?

• Taking the square root of the sum

• Multiplying the squared terms

• Adding the squared terms

• Subtracting the squared terms

What is the distance between the points (-4, 5) and (4, 2)?

• Square root of 73

• Square root of 100

• Square root of 64

• Square root of 81