Distance of Line

The distance formula comes from the following equation:

• Midpoint Formula

• Circumference

• Slope Equation

• Pythagorean Theorem

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Find the distance between these points: (5,5), (-3,7). Round answers to nearest tenth, if necessary.

•  A) 3.2

• B) 8.2

• C) 11.2

• D) 2.8

Find the distance between these points: (-6,5), (0,5). Round answers to nearest tenth, if necessary.

• A) 7

• B) 0

• C) 1

• D) 6

Find the distance between these points: (-3,-8), (-3,-3). Round answers to nearest tenth, if necessary.

• 9

• -5

• 5

• 1

Find the distance between these points: (8,0), (-6,6). Round answers to nearest tenth, if necessary.

• 15.2

• 11.2

• 5.2

• 1.2

Find the distance between these points: (1,0), (-8,7). Round answers to nearest tenth, if necessary.

• 14.4

• 11.4

• 21.4

• 1.4

What is the distance formula for a line segment in a coordinate plane?

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

• sqrt((x2 + x1)^2 + (y2 + y1)^2)

• x2 - x1 + y2 - y1

• (x2 - x1) + (y2 - y1)

What are the steps to calculate the length of a line segment using the distance formula?

• Identify the coordinates of the two endpoints of the line segment and use the Pythagorean theorem: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

• Use the midpoint formula to find the coordinates of the midpoint of the line segment

• Divide the line segment into equal parts and count the number of parts

• Identify the coordinates of the two endpoints of the line segment and use the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)