1. **Problem:** You want to know how to find the coordinates of a plane’s destination, with an example and a drawing. 2. **Key idea:** In coordinate geometry, a point is written as $\left(x,y\right)$. - $x$ tells you how far left or right. - $y$ tells you how far up or down. - A plane’s destination on a map or grid is just the point where it ends up. 3. **Formula/rule to use:** If you start at $\left(x_1,y_1\right)$ and move: - right by $a$, then $x_2=x_1+a$ - left by $a$, then $x_2=x_1-a$ - up by $b$, then $y_2=y_1+b$ - down by $b$, then $y_2=y_1-b$ 4. **Example:** Suppose the plane starts at $\left(2,3\right)$ and flies $5$ units right and $4$ units up. 5. **Find the new coordinates:** $$x_2=2+5=7$$ $$y_2=3+4=7$$ 6. **Destination:** The plane lands at $\left(7,7\right)$. 7. **Drawing:** ```text y ^ | 8| 7| D(7,7) 6| 5| 4| 3| S(2,3) 2| 1| 0+---------------------------------> x 0 1 2 3 4 5 6 7 8 ``` 8. **Important rule:** Always count horizontal movement first for $x$, then vertical movement for $y$. 9. **Final answer:** The destination coordinates are $\left(7,7\right)$.