What is the distance between the points (–8, –2) and (–7, –2)?

A.
1

B.
6

C.
10

D.
15

Question

What is the distance between the points (–8, –2) and (–7, –2)?	
 
 A.
1
 
 B.
6
 
 C.
10
 
 D.
15

usukidoll · Answer

we can just use the distance formula...

usukidoll · Answer

for .. $$(x_1,y_1) = (-8,-2) ..... (x_2,y_2) = (-7,-2)$$

usukidoll · Answer

distance formula is given as $$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$$

usukidoll · Answer

we can just plug the points in for  $$x_1 = -8, x_2 = -7, y_1 = -2, y_2 = -2$$

usukidoll · Answer

$$d=\sqrt{(-7-(-8))^2+(-2-(-2))^2}$$
$$d=\sqrt{(-7+8)^2+(-2+2)^2}$$
$$d=\sqrt{1^2+0^2}$$
$$d=\sqrt{1+0} = \sqrt{1} = 1$$

usukidoll · Answer

the distance is 1

jim_thompson5910 · Answer

Since the y coordinates are the same (both -2) you can also subtract the x coordinates and take the absolute value of that difference

|x1-x2| = |-8 - (-7)| = |-8 + 7| = |-1| = 1

and you'll get the same answer. It's probably better to practice with the distance formula since that can be used for any two points.

usukidoll · Answer

distance formula comes back in vector calculus... I would use that.