Finding Distance

The video tutorial covers the distance formula, explaining how to calculate the distance between two points using their coordinates. The instructor guides viewers through the process, emphasizing the importance of labeling coordinates and using the formula correctly. The tutorial also discusses the difference between exact and decimal answers, encouraging students to understand the math behind the calculations. The session concludes with motivational words to inspire continuous learning.

What is the purpose of the distance formula in mathematics?

• To find the midpoint between two points

• To calculate the slope of a line

• To find the area of a triangle

• To determine the distance between two points

Which of the following is the correct representation of the distance formula?

• sqrt((x2 + x1)^2 + (y2 + y1)^2)

• (x2 + x1)^2 + (y2 + y1)^2

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

• (x2 - x1) + (y2 - y1)

When labeling coordinates, what do the subscripts 1 and 2 represent?

• The first and second points

• The slope and intercept

• The x and y coordinates

• The distance and midpoint

What is the result of the calculation 5 - 2 squared plus 5 - 3 squared?

• 25

• 13

• 9

• 16

Why might someone prefer to leave the distance as a square root rather than a decimal?

• Decimals are always incorrect

• Square roots are easier to calculate

• Square roots provide an exact answer

• Decimals are not allowed in math