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scZoUnD [109]
3 years ago
5

What is the slope of the midsegment parallel to AC?

Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0

Answer:

The slope of midsegment which is parallel to AC is -4.

Step-by-step explanation:

We know that the slopes of parallel lines are same. It is given that the midsegment is parallel to AC, therefore the slope of AC and slope of midsegment is equal.

The slope of a line is

m=\frac{y_2-y_1}{x_2-x_1}

From the given figure it is noticed that A(3,7) and C(5,-1).

Slope of AC is

m=\frac{-1-(7)}{5-(3)} =\frac{-8}{2}=-4

Since the midsegment is parallel to AC, therefore their slopes are equal.

\text{Slope of midsegment}=-4

Therefore the slope of midsegment which is parallel to AC is -4.


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What is the slope of the line that passes through the pair of points? (5,2) and (7,8) the answers are 2/3,-2/3,3/2 or -3/2
Mice21 [21]
Answer:  The slope is:  "3" ; which does not appear among the                                   answer choices given.
______________________________________________

The slope, "m" is calculated as follows:
___________________________________
Given two coordinates on a line; 

m = (y₂ − y₁) / (x₂ − x₁) ;
__________________________________________

We are given the following 2 (TWO) coordinates:
__________________________________________
 1)  (5,2) ; which is:  (x₁ ,y₁) ;  so x₁ = 5 ; y₁ = 2 ; AND:
 
 2)  (7,8);  which is:  (x₂ ,y₂) ;  so x₂ = 7; y₂ = 8 ;
_____________________________________________
So;  m = (y₂ − y₁) / (x₂ − x₁) = (8−2) /.(7−5) = 6/2 = 3 .

m = 3.  The slope is: 3 ; which does not appear among the answer choices given.
______________________________________________
Alternately,
______________________________________________
We are given the following 2 (TWO) coordinates:
__________________________________________
 1)  (7,8) ; which is:  (x₁ ,y₁) ;  so x₁ = 7 ; y₁ = 8 ; AND:
 
 2)  (5,2);  which is:  (x₂ ,y₂) ;  so x₂ = 5; y₂ = 2 ;
______________________________________________
So;  m = (y₂ − y₁) / (x₂ − x₁) = (2−8) / (5−7) = -6/-2 = 3 .

m = 3.  The slope is 3 ; which does not appear among the answer choices given.
________________________________________________
6 0
3 years ago
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