Which of the points listed is the same distance from the y-axis as the point (
-4, 7.5)?

A(4,-3.75). B(2,-7.5). C(7.5,-2). D None of these choices are correct

Respuesta :

Option A is the correct answer  

Step-by-step explanation:

Step 1 :

The given points are

A (4,-3.75)

B (2,-7.5)

C (7.5,-2).

We need to find which point is at the same distance from the y axis as the point (

-4, 7.5). Let P =  (

-4, 7.5)

The distance of a point from the y axis is given by the x co ordinate of the point.

So here the distance of the point P from the y axis is 4. (It is placed on the negative x axis because the x co ordinate  = -4.)

Step 2 :

So all points which has x co ordinate as 4 or -4 will be at the same distance from the y axis as the given point P.

From the given points A B and C, we can see that the point A has 4 as its x co ordinate.

So the point A is at the same distance from the y axis as the given point P

Step 3 :

Answer :

Option A is the correct answer