Apply the Distance Formula

Apply the Distance Formula

By Miss Zayas

​https://www.youtube.com/watch?v=qaHAWgn784E

Watch this video

Multiple Choice

The horizontal axis is called __________.

• y-axis

• x-axis

• origin

• quadrants

Multiple Choice

The vertical axis is called __________

• y-axis

• x-axis

• origin

• quadrants

Multiple Choice

How many quadrants are in the Cartesian Plane?

• 2

• 1

• 3

• 4

Multiple Choice

What is the correct form to write the coordinate?

• (x, y)

• (y, x)

Multiple Choice

 

 

What is the coordinate?

• (3,2)

• (2,3)

• (-2,3)

• (-3,2)

Multiple Choice

Which letter matches the coordinate (4, -6)?

• O

• Z

• J

• C

​Let's study

The Distance Formula

​Watch this video:

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https://www.youtube.com/watch?v=ZVv1KiGkx50

Multiple Choice

The distance formula is another way to write which of the following?

• Midpoint Formula

• Quadratic Formula

• Pythagorean Theorem

• Segment Addition Postulate

Multiple Choice

How is the distance formula correctly written?

• $$d=(x_2−x_1)^2+(y_2​−y_1​)^2​$$  

• $$d=\sqrt[]{(y_2−y_1)^2−(x_2​−x_1​)^2​}$$  

• $$d=\sqrt[]{(x_2−x_1)^2−(y_2​−y_1​)^2​}$$  

• $$d=\sqrt[]{(x_2−x_1)^2+(y_2​−y_1​)^2​}$$  

Let's learn how to solve problems using the Distance Formula...

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Watch the following video...

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​https://www.youtube.com/watch?v=otIjqzKlnXc

​

​The Distance Formula

Multiple Choice

A(3,1) and B(-2,-1) written correctly is:

• $$d=\sqrt[]{\left(-2-3\right)^2-\left(-1-1\right)^2}$$  

• $$d=\sqrt[]{\left(1-3\right)^2-\left(-1-2\right)^2}$$  

• $$d=\sqrt[]{\left(-2-3\right)^2+\left(-1-1\right)^2}$$  

• $$d=\sqrt[]{\left(3-1\right)^2+\left(-2+1\right)^2}$$  

Fill in the Blanks

Find the distance between (-5, -8) and (-1, -16)

$Remember\ to\ identify\ \left(x_1,y_1\right)\ and\ \left(x_2,y_2\right),\ then\ sustitute\ those\ values\ in\ the\ formula:\ \sqrt[]{\left(x_2-x1\right)^2+\left(y_2-y_1\right)^2}$  Round your answer to the nearest tenth. Write just the number.

Fill in the Blanks

Find the distance of CD.

Identify the coordinates of C and D and find the distance between those points.

$Remember\ to\ identify\ \left(x_1,y_1\right)\ and\ \left(x_2,y_2\right),\ then\ sustitute\ those\ values\ in\ the\ formula:\ \sqrt[]{\left(x_2-x1\right)^2+\left(y_2-y_1\right)^2}$   Round your answer to the nearest tenth. Write just the number.