Final answer:
The product of the coordinates of the midpoint of line EF is 9.
Step-by-step explanation:
To find the coordinates of the midpoint, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) is given by ( (x1 + x2)/2, (y1 + y2)/2 ).
In this case, the coordinates of point E are (-19, -7) and the coordinates of point F are (13, 1). Plugging these values into the formula, we can calculate the coordinates of point G, the midpoint of EF.
Midpoint of EF = ( ( -19 + 13 )/2, ( -7 + 1 )/2 )
Midpoint of EF = ( -3, -3 )
The product of the coordinates of G is -3 * -3 = 9.