Slope of segment de is -2 and slope of segment ac is -2 what is the justification for this statement? a) additive identity b) midsegment theorem c) slope formula d) transitive property of equality

slope formula

Explanation:
1- Slope of DE:
Assume point D is (x1, y1) and point E is (x2, y2). To get the slope of DE, we will substitute with the given points in the following formula:
slope of DE = (y2-y1) / (x2-x1) = -2

1- Slope of AC:
Assume point A is (x1, y1) and point C is (x2, y2). To get the slope of AC, we will substitute with the given points in the following formula:
slope of AC = (y2-y1) / (x2-x1) = -2

3- Therefore, the easiest way to get the slope of any line is by using the slope formula.

4- Note that since the two slopes are equal, this means that the two lines are parallel.

Hope this helps :)