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Choose the point slope form of the equation below that represents the line passing through the point (-6,4) and (2,0)

Respuesta :

ayafai
m= (y2-y1) / (x2-x1)
m= (0-4) /  (2-(-6 ))
m= -4/8
m= -1/2
JeanaShupp

Answer: [tex]y=\dfrac{-1}{2}(x-2)[/tex]

Step-by-step explanation:

The equation of a line passing through points (a,b) and (c,d) is given by :-

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Given : The points from which line is passing :  (-6,4) and (2,0)

Then , the equation of the line, in point slope  form, that passes through  (-6,4) and (2,0)will be :-

[tex](y-(0))=\dfrac{4-0}{-6-2}(x-2)\\\\\Rightarrow\y=\dfrac{4}{-8}(x-2)\\\\\Rightarrow\ y=\dfrac{-1}{2}(x-2)[/tex]

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