Question

Points Y and Z are the same distance from point X on a number line. The coordinate of point X is –7 and the coordinate of point Y is –1.

What is the coordinate of point Z?

Answer 1

What is the distance between X and Y?

Answer 2

?

Answer 3

In order to find out the coordinates of Z, you first need to know the distance between X and Y, since the distance between X and Y is the same as X and Z.

Recall the distance formula: abs(y - x)

Answer 4

6

Answer 5

Right..you know Y is 6 units away from X

Which means Z will also be 6 units away from X

So since we know Y = -1

Then Z will be in the opposite direction from that...meaning 6 units from X *-7* going left

So \(\large -7 - 6 = ?\)

Answer 6

-13