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Given:
Points D, C, A, and B are colinear.
The slope of AB is equal to the slope of DC since D, C, A, and B are colinear points.
We know that
[tex]\text{Slope =}\frac{rise}{\text{run}}[/tex]Given that rise =3 and run =2.
[tex]\text{Slope =}\frac{3}{2}[/tex]