Question

ruler postulate: the distance between two points is the absolute value of the difference between their coordinates. how would we find the distances ab or ce? note: ab is the length of segment ab. ab = | - 8 - (-5)| = | - 3| = 3. ce = | - 2 - 2| = | - 4| = 4. what is the length eb?

Explanation:

Step1: Identify coordinates of E and B

E has coordinate 2, B has coordinate - 5.

Step2: Apply distance formula

The distance between two points is the absolute - value of the difference of their coordinates. So \(EB=\vert2-(-5)\vert\).

Step3: Simplify the expression

\(\vert2 - (-5)\vert=\vert2 + 5\vert=\vert7\vert = 7\).

Answer:

7