When a point \((x, y)\) is reflected across the x-axis, its y-coordinate changes sign, while the x-coordinate remains the same.
Given the point at the bottom of the heart is \((314, 712)\), after reflection across the x-axis, the coordinates will be:
\[ (314, -712) \]
So, the coordinates for the point at the bottom of the heart in the reflected image will be \((314, -712)\).