Apply the Distance Formula

y-axis

x-axis

origin

quadrants

y-axis

x-axis

origin

quadrants

2

1

3

4

(x, y)

(y, x)

(3,2)

(2,3)

(-2,3)

(-3,2)

O

Z

J

C

Midpoint Formula

Quadratic Formula

Pythagorean Theorem

Segment Addition Postulate

$$d=(x_2−x_1)^2+(y_2​−y_1​)^2​$$  

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

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

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

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

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

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

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