# Geometry

posted by Alexa

Use the Distance Formula and the x-axis of the coordinate plane. Show why the distance between two points on a number line (the x-axis) is | a – b |, where a and b are the x-coordinates of the points.

How would I solve this?

1. Reiny

so your two points are A(a,0) and B(b,0)

from A to B = √( (b-a)^2 + 0^2)
from B to A = √( (a-b)^2 + 0^2)

but (a-b)^2 = (b-a)^2 , (when you square a number the result is positive)
e.g. 5^2 = (-5)^2

so the two results are the same

2. Alexa

thank you so much!

## Similar Questions

1. ### geometry

Point P is on the number number line. The distance between O and P is four times the distance between P and 30. What is the sum of two possible values of P?

Algebra! How is the distance formula and the pythagorean theroem similar?
3. ### Physics

Two points in the xy plane have cartesian coordinates (4.6,-10) and (-10,3.2) I found the distance to be 19.68 but i need to find the angle between the line connecting the two points and the x-axis (measured counterclockwise from the …
4. ### science

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system …
5. ### physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system …
6. ### physics

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system …
7. ### science

The most convenient way to express vectors in the two dimensional plane is in the familiar (x,y) Cartesian coordinates. However, one can express vectors in other coordinate systems as well. For example, another useful coordinate system …
8. ### Geometry, Help

1. Reasoning How does the Distance Formula ensure that the distance between two different points is positive?
9. ### Math

1. How can you represent a loss of 24 dollars as an integer?
10. ### Math

1. How can you represent a loss of 24 dollars as an integer?

More Similar Questions