# Geometry

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. 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

posted by Reiny
2. thank you so much!

posted by Alexa

## Similar Questions

Algebra! How is the distance formula and the pythagorean theroem similar? The distance formula follows from the pythagorean theorem. You have to apply it twice: If (x1, y1, z1) are the coordinates of a point 1 and (x2, y2, z2) are
2. ### math

The distance between (0, 0) and (0, 1) on a certain coordinate plane is 1cm. The distance between (0, 0) and (1, 0) on that same coordinate plane is 1cm. What is the distance between (0, 0) and (1, 1)? Explain your answer.
3. ### ALGEBRA

The distance between (0, 0) and (0, 1) on a certain coordinate plane is 1cm. The distance between (0, 0) and (1, 0) on that same coordinate plane is 1cm. What is the distance between (0, 0) and (1, 1)? Explain your answer.
4. ### math

The distance between (0,0) and (0,1) on a certain coordinate plane is 1cm. The distance between (0,0)and (1,0) on that same coordinate plane is 1cm. What is the distance between (0,0) and (1,1). Explain the answer
5. ### Geometry, Help

1. Reasoning How does the Distance Formula ensure that the distance between two different points is positive? 2. There are two different formulas for midpoint. Is it possible to use the formula for midpoint "on a number line" when
6. ### Math

1. How can you represent a loss of 24 dollars as an integer? (1 point) –42 –24 1/24 +24 2. How can you represent a baby growing 13 inches in a year as an integer? (1 point) –13 0 +1/13 +13 3. What is the integer at Point L?
7. ### Math

1. How can you represent a loss of 24 dollars as an integer? (1 point) –42 –24 +24 2. How can you represent a baby growing 13 inches in a year as an integer? (1 point) –13 0 + +13 3. What is the integer at Point L? (1 point)
8. ### Calculus

A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 7 km and climbs at an angle of 45 degrees. At what rate, in km/min is the distance from the plane to the radar station
9. ### Phys1402

Object A of charge 5e-6 C is located at the origin of a coordinate plane. Object B of charge 3e-6 C is located on the x-axis of a coordinate plane at x = 0.002 m. Object C of charge 3e-6 C is located on the y-axis of a coordinate
10. ### math

if the point A has distance "a" to x-axis, and has distance "b" to y-axis, and A is in quadrant 4, then what is the coordinate of A?

More Similar Questions