Question

Find the distance between the points given.

(-10, 3) and (-10, 12)


9

15

Answer 1

The way to solve it can be shorter :)
Just look, that these points have got the same x-coordinate,
so they lie on the same line, which is parallel to the OY axis,
So your taks is only find different in y-coordinate. That is
12-3 = 9
And this is answer :)

Answer 2

The distance between the points (x₁,y₁) and (x₂,y₂):

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`


`(-10,3) \\ x_1=-10 \\ y_1=3 \\ \\ (-10,12) \\ x_2=-10 \\ y_2=12 \\ \\ d=√((-10+10)^2+(12-3)^2)=√(0+9^2)=√(9^2)=9`

Another method:
The points have the same x-coordinate so they lie on the same line. y-coordinates are positive so you just subtract 3 from 12. See the picture in the attachment.

The answer is 9.