Answer:
D(3, 3)
The slope of line AB is -2.
The slope of line CD is 1/2.
Explanation:
I chose point D (shown in the figure below) since it lies on the intersection of grid lines and is easy to read. The coordinates of point D are (3, 3).
Point A(-3, 3); point B(-1, -1)
slope of line AB:
![m = (y_2 - y_1)/(x_2 - x_1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/tkzlrrjpwnmnr956dw5uu4cay5jdo3xbjb.png)
![m = (-1 - 3)/(-1 - (-3))](https://img.qammunity.org/2022/formulas/mathematics/high-school/i39k0owbtj1egek2cgzpdcl48we06nfz3f.png)
![m = (-4)/(-1 + 3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/sib2fb37wtm2pvzfkafvodcfrnr9wbpnmj.png)
![m = (-4)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/mtx4x1n9br6pl3pgvuwdaoiqadcv0ssth7.png)
![m = -2](https://img.qammunity.org/2022/formulas/mathematics/high-school/d8hvyiazqursbpi9gxmbgpksvq8qcoo6vh.png)
The slope of line AB is -2.
Point C(1, 2); point D(3, 3)
slope of line CD:
![m = (3 - 2)/(3 - 1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/w3okxt8j0n0o0vc1wutc47e6jb62ez86i9.png)
![m = (1)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/nm9t2d48cxtlnudqttv8s9xpagr99xmmtw.png)
The slope of line CD is 1/2.