Question

Points D, C, B, and A are collinear.What is the slope of DC in simplest form?BсSlope of DC = [?]-D

Answer 1

Step-by-step explanation

Three or more points are collinear if the slope of any two pairs of points is the same

From the question.

Thus, for line AB

`\begin{gathered} \text{slope of AB is given by} \\ \text{slope AB=}(rise)/(run)=\frac{change\text{ in y}}{change\text{ in x}}=(3)/(1)=3 \end{gathered}`

Similarly, the slope of DC will be equal to that of AB because they are collinear

Thus

`\text{slope of DC=3}`