How do u find the two points that define the latus rectum? With the Focus at (0,-7) and the directrix line y=7.
The latus rectum is the line which passes through the focus and is parallel to the directrix.
The equation of the parabola is:
$\displaystyle 4 \cdot (-7) \cdot y = x^2~\implies~\boxed{y=-\frac1{28} x^2}$
The latus rectum is placed on the line $\displaystyle l: y = -7$.
To determine the endpoints of the latus rectum calculate the coordinates of the intersection points between the parabola and the line $\displaystyle l$.