To calculate the distance between two points, you have to use the distance formula.
point 1 is (-5, -8) and point 2 is (-1, -16). The x coordinate is before the comma and the y coordinate is after the comma.
The distance formula is:
Distance = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
Insert your coordinates into the formula.
[tex]\sqrt{((-1) - (-5))^{2} + ((-16) - (-8))^{2} }[/tex]
Combine your terms.
[tex]\sqrt{(4)^2 + (-8)^2}[/tex]
Square your numbers.
[tex]\sqrt{16 + 64}[/tex]
Add these terms together.
Your answer is [tex]\sqrt{80}[/tex] or 8.94
Answer:
d = 8.944
Step-by-step explanation:
The distance between two points
d = √(x2 - x1)^2 + ( y2 - y1)^2
d - distance
( x1 , x2) -first point
( y1 , y2) -second point
( -5 , -8) ( -1 , -16)
x1 = -5
y1 = -8
x2 = -1
y2 = -16
d = √( -1 - (-5)^2 + ( -16 - (-8)^2
= √( -1 + 5)^2 + ( -16 + 8)^2
= √ 4^2 + (-8)^2
= √ 16 + 64
= √ 80
= 8.944
