Answer:
D(3, 3)
The slope of line AB is -2.
The slope of line CD is 1/2.
Step-by-step 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:
[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] m = \dfrac{-1 - 3}{-1 - (-3)} [/tex]
[tex] m = \dfrac{-4}{-1 + 3} [/tex]
[tex] m = \dfrac{-4}{2} [/tex]
[tex] m = -2 [/tex]
The slope of line AB is -2.
Point C(1, 2); point D(3, 3)
slope of line CD:
[tex] m = \dfrac{3 - 2}{3 - 1} [/tex]
[tex] m = \dfrac{1}{2} [/tex]
The slope of line CD is 1/2.
