Question

in the figure, the slope of mid - segment de is - 0.4. the slope of segment ac is

Explanation:

Step1: Recall the mid - segment theorem

The mid - segment of a triangle (a segment connecting the mid - points of two sides of a triangle) is parallel to the third side.

Step2: Use the property of parallel lines

If two lines are parallel, their slopes are equal. Since \(DE\) is the mid - segment of \(\triangle ABC\) (assuming \(D\) is the mid - point of \(AB\) and \(E\) is the mid - point of \(BC\)), and \(DE\parallel AC\). Given the slope of \(DE=- 0.4\).

Answer:

\(-0.4\)