Question

If you change the sign of a point’s x -coordinate, how will the location of the point change?

Answer 1

By changing the sign of x coordinates the point would be reflected along "y" axis.

Step-by-step explanation:

Let us plot a hypothetical point (x, y) where both x and y are positive integer. Since both the number sets are positive integer, hence the points lie in 1st quadrant.

Now we change the sign of the x coordinates i.e. x=-x

The new coordinates are (-x, y)

since x is negative and y is positive hence this set would lie in 2nd quadrant.

Comparing the above two pointset (x, y) and (-x, y)

We find that 2nd set is the reflection of the 1st set along y axis (“y” remains constant and sign of “x” coordinates change)

Hence if the original point is in 1st quadrant then the after changing the sign points would lie in 2nd quadrant and vice-versa.

Similarly, if both the values of “x” and “y” are negative i.e. points lie in 3rd quadrant, then the points would lie in 4th quadrant after changing and vice-versa