#### Answer

$(-3, 4)$

#### Work Step by Step

RECALL:
The graph of an equation that is symmetric with respect to the origin has the following property:
If the point $(a, b) $ is on the graph of the equation, the point $(-a, -b)$ is also on the graph of the equation.
Thus, if the graph of an equation that is symmetric with respect to the y-axis contains the point $(3, -4)$, then its graph also contains the point $(-3, 4)$.