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

1. UsukiDoll

we can just use the distance formula...

2. UsukiDoll

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

3. UsukiDoll

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

4. UsukiDoll

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

5. UsukiDoll

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

6. UsukiDoll

the distance is 1

7. jim_thompson5910

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.

8. UsukiDoll

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