Respuesta :

There's a property,
The line segment formed by joining mid-points of two sides of a triangle is parallel to the third side of a triangle. i.e DC ll AC.

Slope of parallel lines are same. 

Therefore, slope of line DC = slope of line AC = -0.4. 

Hope this helps!

The slope of segment AC is -0.4.

What is slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

What is slope of parallel lines?

The slope of the parallel line is 0 .Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching (assuming that these lines are on the same plane).

What is mid point theorem?

The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

According to the question

The slope of mid-segment DE is -0.4

and DE is parallel to AC   (by midpoint theorem)

Therefore, they have equal slope .

Hence, The slope of segment AC is -0.4.

To know more about slope of parallel line and midpoint theorem here :

https://brainly.com/question/4871239

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