Question

Find the distance between the pair of points.
N(-7, -10), P(-7, -2)

Answer 1

Answer: 8

Explanation:

To find the distance, since you know the x values are the same, you just need to find the difference between the y-values, and -2-(-10)=8 meaning 8 is the distance between the two points

While that way worked, it will only work if either the x or y values are the same. If they aren't you need to use the distance formula which is
`d=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`. Let's just test it out to prove it.

To do this, we take our points. We have point N (-7,-10) and point P (-7,-2). Now, we have
`d=√((-7+7)^2+(-2+10)^2)`. This is because -7-(-7)=-7+7 and -2-(-10)=-2+10 because both the minus signs cancel out. From there, we get
`d=√((0)^2+(8)^2)` by doing addition and subtraction. After, we square both to get
`d=√(0+64)` which is
`√(64)`, which is 8.

So therefore, our distance between the two points is 8.

Hope that helped a lot. Let me know any further questions.

:)