1. The problem involves identifying the coordinates of two points on a coordinate plane. 2. The first point is located in the top-right quadrant (Quadrant I) at coordinates $(1,1)$. 3. The second point is located in the bottom-left quadrant (Quadrant III) at coordinates $(-7,-3)$. 4. Coordinates are given as $(x,y)$ where $x$ is the horizontal position and $y$ is the vertical position. 5. Positive $x$ and $y$ values place a point in Quadrant I, while negative $x$ and $y$ values place a point in Quadrant III. 6. Therefore, the points are correctly positioned as described: $(1,1)$ in Quadrant I and $(-7,-3)$ in Quadrant III. Final answer: The two points are at $(1,1)$ and $(-7,-3)$ respectively.