Nancy has to find the coordinates of the reflection of the point across the y-axis. How can she find the coordinates of the new point without graphing the point? is there a rule that she can apply to find it?

(x, y) transforms into (-x, y)

Step-by-step explanation:

When we do a reflection over a given axis, the distance between the initial point to the axis must be the same as the distance of the reflected point to the axis.

So if we do a reflection over the y-axis, then the value of y must be fixed.

So if we start with the point (x, y), the only other point that is at the same distance from the y-axis is the point (-x, y)

So the rule is, the y value remains equal and the x changes of sign.

its 50 miles away from the starting point