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Chapter 1: Q25 (page 14)

For the following coordinates of two points on a number line, state the distance between the points 2 and -6.

Short Answer

Expert verified

The distance between the two points is 8.

Step by step solution

01

Step 1. Apply the absolute difference formula.

The Distance can be calculated by taking the absolute value of the difference of coordinates of points. The absolute difference of two real numbers x and y can be calculated by x-y. It describes the distance on the real line between the points corresponding to x and y.

02

Step 2. Calculate the absolute difference.

Let x=2and y=-6be the coordinates of two points 2,-6.

03

Step 3. Step description.

Substitute 2 for x and -6 for y to determine the absolute value difference.

role="math" localid="1637749519801" distance=|x−y|=|2−−6|=|2+6|=8

Hence, the distance between the two points is 8.

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