Step-by-step explanation: To solve this question we can draw a line that connects the origin to different points in the graph and compare the area of the resulting shape visually as follows.
As we can see above, the origin is represented by the yellow dot. From graphs 1 to 4 we are drawing some of the possibilities of shapes when we connect the origin to the different points on the black line.
As we can see, from graph 1 to graph 2 the area of the shape (green area) increased.
So All we need to do is to compare all the possible areas connecting the origin to the different points.
Also, we can see that graph 4 has part of its shape under the horizontal line which means this is a negative area or that it has to be subtracted from the whole area.
Once graph 4 has a red area (negative area) it is not the largest area. This means the largest one is represented by graph 3.
Final answer: So the final answer is that we need to connect the origin to the point G to yield the greatest area