Error analysis:

To find the distance between points (-6, -8) and (5, -12), the following steps were used.

Is the distance correct? If the distance is not correct, where was the FIRST mistake made?

Step 1: d = √(-6 - 5)^2 + [-8 - (-12)]^2

Step 2: d = √(-11)^2 + (4)^2

Step 3: d = √(-7)^2

Step 4 d = √49

Step 5: d = 7

The distance given as 7 is incorrect.

The first mistake was made in Step 2.

The correct calculation in Step 2 should be:
d = √(-11)^2 + (4)^2
= √121 + 16
= √137