On a coordinate plane, how are the locations of the points (8 , 7) and (-8 , 7) related?

1 answer

The points (8, 7) and (-8, 7) are related in that they have the same \( y \)-coordinate but different \( x \)-coordinates. Specifically, they lie on a horizontal line at \( y = 7 \) since both points share the same value for \( y \).

In terms of symmetry, these two points are symmetric with respect to the \( y \)-axis. This means that if you were to reflect one point over the \( y \)-axis, it would land on the other point. The distances from each point to the \( y \)-axis are equal; (8, 7) is 8 units to the right of the \( y \)-axis, while (-8, 7) is 8 units to the left.