Distance Formula

Distance Formula

 $\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$  

https://www.youtube.com/watch?v=yY4hw4KQv2k

Midpoint and Distance song

Multiple Choice

How is the distance formula correctly written:

• $d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

• $d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

• $d\ =\ \sqrt{\left(y_{1\ }-\ y\ _2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)}^2$

• d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

Multiple Choice

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

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

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

• $\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

• $\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$

Multiple Choice

Find the distance between the points (4, 3) and (0, 6).

• 3

• 4

• 5

• 7

Multiple Choice

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

• 8.9
• 9.8
• 10.3
• 11

Multiple Choice

Find the distance.

• 9.7

• 10.7

• 11.7

• 12.7

Multiple Choice

Find the distance between J and K.

• 8.2
• 7.7
• 9
• 10.2

Poll

How do you feel about the distance formula

• It's easy!

• As long as you give me the formula I'm good!

• Okay.. I just need more practice

• The what???