Calculating Distance on a Coordinate Plane

The video tutorial explains how to calculate the distance between two points on a coordinate plane by forming a right triangle and using the Pythagorean theorem. It provides two examples, demonstrating the process of drawing vertical and horizontal lines through given points, calculating the lengths of the triangle's sides, and finding the hypotenuse. The tutorial emphasizes counting boxes or using plotted values for accuracy.

What is the first step in calculating the distance between two points on a coordinate plane?

• Draw a circle around the points

• Draw and connect the given points

• Find the slope of the line connecting the points

• Calculate the midpoint of the points

In the first example, what are the coordinates of the points plotted?

• (3, -4) and (-5, 4)

• (3, 5) and (-4, -4)

• (3, -5) and (-4, 4)

• (3, 4) and (-5, -4)

What is the purpose of drawing vertical and horizontal lines through the points?

• To find the midpoint

• To calculate the slope

• To create a right triangle

• To create a square

How do you calculate the missing side of the triangle in the first example?

• Using the formula a + b = c

• Using the formula a^2 * b^2 = c^2

• Using the formula a^2 - b^2 = c^2

• Using the formula a^2 + b^2 = c^2

What is the approximate distance calculated in the first example?

• 10.4

• 9.4

• 11.4

• 12.4

In the second example, what is the distance between the points at 1 and 3?

• 5

• 2

• 3

• 4

What is the final calculated distance in the second example?

• 8

• 9

• 11

• 10

What is the key theorem used in calculating the distance between points?

• Pythagorean theorem

• Binomial theorem

• Remainder theorem

• Fundamental theorem of calculus

What can you use to verify the distance calculation besides the formula?

• Counting the boxes on the graph

• Measuring with a ruler

• Using a calculator

• Drawing more lines

What is the final step in the process of calculating distance on a coordinate plane?

• Finding the midpoint

• Using a squared plus b squared equals c squared

• Calculating the slope

• Drawing more triangles