Points D, C, B, and A are collinear.What is the slope of DC in simplest form?3BDSlope of DC = 0)=

Question

asked Dec 11, 2023 81.0k views

1 Answer

Henry Mueller · Answer 1 · 2023-12-15T13:05:37+0000

To answer this question we will use the following formula for the slope of a line:

$m=\frac{\text{rise}}{\text{run}}\text{.}$

Since A, B, C, and D are collinear then:

$\text{slope of }\bar{\text{DC}}\text{=slope of }\bar{\text{AB}}\text{.}$

Now, from the given diagram, we get that, for AB:

$\begin{gathered} \text{rise}=3, \\ \text{run}=4. \end{gathered}$

Therefore:

$\text{slope of }\bar{\text{AB}}\text{=}(3)/(4)\text{.}$

Answer:

$(3)/(4)\text{.}$