Question

Points A and B have opposite x-coordinates but the same y-coordinates. How many units away are each of the points from the y-axis?

Answer 1

Answer:

They are both x units away from the y-axis.

Step-by-step explanation:

The x coordinates are x and -x  so they are both x units away from the y-axis. The total distance between the 2 points is  x -(-x) = 2x units.

Answer 2

Answer:

$x$ units

Step-by-step explanation:

The points can be represented as:

$(x,y)$ and $(-x,y)$

the distance from the first point to the y- axis is $x$, which can be any number.

and the distance from the second point, since is also at coordinate $x$ but in the other side of the plane is also

For example: points $(3,0)$ and $(-3,0)$ they have the same y-coordinate 0.

And the x-coordinates are opposite (3 and -3).

and if you place these points in a plane, you can see that both are at the same distance from the y-axis (3 units).

So for any two points with this characteristics, both will be at a distance $x$ from the y-axis.