Question

What part of the coordinate plane is equidistant from the points a(-3,2) and b(3,2)?

Answer 1

The y-axis is equidistant from both points

Explanation:

we know that

The formula to calculate the coordinates of midpoint M between two points is equal to

`M=((x1+x2)/(2), (y1+y2)/(2))`

we have

`(x1,y1)=(-3,2)`

`(x2,y2)=(3,2)`

substitute the values in the formula

`M=((-3+3)/(2), (2+2)/(2))`

`M=(0,2)`

see the attached figure to better understand the problem

The y-axis is equidistant from both points

Answer 2

We first find the midpoint of the points:
Midpoint: ((3-3)/2 , (2 + 2)/2)
= (0 , 2)
Thus, the y-axis, where x = 0, is equidistant from the two points.