Question

A point P has coordinates (–5, 4). What are its new coordinates after reflecting point P over the y-axis?

Answer 1

The answer is 4 and -5

Answer 2

Therefore the new co-ordinate after reflecting point P over the y-axis is (5,4)

Step-by-step explanation:

Reflection of a point:

x=a is the line AB parallel to y-axis at a distance a from the y-axis.

Let the point P₁(x₁,y₁) is reflected by the line AB.

Then P₂(x₂,y₁) is reflection of point P on the line AB.

x₂= 2a-x₁.

Therefore the coordinate of the reflection of P₁ is (2a-x₁,y₁)

Given that,

A point P(-5,4) is reflected by the y-axis.

The equation of line y-axis is x=0.

Let the new co-ordinate after reflection be P'(x₂,y₂).

Here a=0,x₁= -5

x₂=2a-x₁=2.0-(-5)=5, y₂=y₁=4

Therefore the new co-ordinate after reflecting point P over the y-axis is=(5,4)