Question

what is the distance between the points (-4, -13) and (-4, 20) in the coordinate plane?
a. 33 units
b. 17 units
c. 29 units

Explanation:

Step1: Identify x - coordinates are same

The two points are (-4, - 13) and (-4, 20). The x - coordinates of both points are -4.

Step2: Calculate distance using y - coordinates

The distance \(d\) between two points with the same x - coordinate is given by the absolute value of the difference of their y - coordinates. So \(d=\vert20-( - 13)\vert\).

Step3: Simplify the expression

\(\vert20-( - 13)\vert=\vert20 + 13\vert=\vert33\vert = 33\).

Answer:

A. 33 units