Why is the absolute value used to find distances on a coordinate​ plane?
Choose the correct answer below.

A. Absolute value is the distance between 2 points on a number​ line, so it gives the distance between any 2 points.
B. Absolute value is the distance from 0 to a point on a number​ line, so it gives the distance relative to 0 on the coordinate plane.
C. Absolute value is the distance between 2 points on a number​ line, so it gives the distance relative to 0 on the coordinate plane.
D. Absolute value is the distance from 0 to a point on a number​ line, so it gives the distance between any 2 points.

Respuesta :

Answer:

B

Step-by-step explanation:

Absolute value is essentially just every number, but positive. (like -2's absolute value is 2). This is also a number's distance from zero. 2 is 2 away from zero, and -2 is 2 away from zero.

Absolute value returns the positive value of a numerical expression.

Absolute value is used to calculate distance on a coordinate plane because (a) Absolute value is the distance between 2 points on a number​ line, so it gives the distance between any 2 points.

The distance between points A and B on the coordinate plane is:

[tex]\mathbf{Distance = |A - B|}[/tex]

or

[tex]\mathbf{Distance = |B - A|}[/tex]

The above equations mean that:

Absolute values will calculate the distance between any two points, irrespective of whether the point is 0 or not.

Hence, the correct option is: (a)

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