Question

If the point (-1, 3) is reflected across the line x = 4,what will be the coordinates of the image?

Answer 1

To answer this question we have to draw a graph:

the initial point is (-1;3), the reflection is on x =4.

Since it is reflected across an x line, the y component stays the same.

The distance from the line of reflection (x=4) to the image it's equal to the distance from the line of reflection to the initial point.

In this case, that distance is 5 units on the x-axis.

So, the new coordinates are:

(-1+5+5,3)= (9,3)