We have two vectors <4, 2> and <-3, 5>, by grasping these coordinates and joining them with the origin we get a graph of the vectors:
By translating the red vector <-3, 5> to the head of <4, 2>, we should get:
As you can see, by connecting the tail of <4, 2> and the head of <-3, 5> we got <1, 7>, which is the sum of these vectors.