Respuesta :

altavistard
If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.

Thus, 

         -6 - (-8)         2
m = ------------- = -------- = -1/2
         -7 - (-3)         -4

Then the following must be true:

             4-(-6)          10
-1/2 = ------------ = ---------
             c - (-7)       c + 7

Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27

The value of c is -27.

What is collinear?

Three or more points are said to be collinear if they all lie on the same straight line.

If the 3 points lie on same line then they are collinear,

So, the slopes of all line segments connecting the points are same.

Thus,

m= -6 - (-8)/ -7 - (-3)

  = 2/-4

  =-1/2

Now,

-1/2= 4-(-6)/c-(-7)

-1/2= 10/c+7

-c-7=20

-c= 27

c=-27

Hence, the value of c is -27.

Learn more about collinear here:

https://brainly.com/question/24250339

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