Question

what is the distance between the points (5, 34) and (5, 21) in the coordinate plane?
a. 13 units
b. 29 units
c. 6.5 units

Explanation:

Step1: Identify x - coordinates and y - coordinates

The two points are (5, 34) and (5, 21). The x - coordinates are the same (x1 = x2 = 5), and y1 = 34, y2 = 21.

Step2: Use the distance formula for points with same x - coordinate

The distance d between two points (x1,y1) and (x2,y2) when x1 = x2 is given by d=|y1 - y2|. So d=|34 - 21|.

Step3: Calculate the absolute - value

34 - 21

=

13

= 13.

Answer:

A. 13 units