Slope of segment DE is -2 and slope of segment AC is -2 whAT is the justification for this statement?

1 answer:

5 0

Answer:
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 :)

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Write a verbal expression for 3n - 8.

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(B) 8 less than the product of 3 and n

Here, we are given an equation 3n - 8

Let us consider each of the options one by one

(A) the product of 3, n and 8 will be written as 24n. Hence this isn't the correct answer.

(B) 8 less than the product of 3 and n will be written as 3n - 8. This matches our equation and hence is the correct answer.

(D) 3 times n less than 8 will be written as 8 - 3n. Thus, this is also eliminated.

Therefore, option B is the correct answer.

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