Find the equation of the line that passes through the points (–2, 4) and (1, 2).
Select the appropriate response
A) y = (– 2/3)x - 8/3
B) y=1/2x+1
C) y = (– 2/3)x + 8/3

Help please, and maybe explain? thank you!!

The answer to your question is c)    y = (-2/3)x + 8/3    

Step-by-step explanation:

Data

A (-2, 4)

B (1, 2)

Process

1.- Calculate the slope of the line

-Formula

  m = (y2 - y1)/(x2 - x1)

  x1 = -2    y1 = 4    x2 = 1   y2 = 2

-Substitution

  m = (2 - 4) / (1 + 2)

-Simplification

  m = -2/3

2.- Find the equation of the line

Formula

    y - y1 = m(x - x1)

-Substitution

   y - 4 = -2/3 (x + 2)

-Simplify

   y - 4 = (-2/3)x - 4/3

   y = (-2/3)x - 4/3 + 4

   y = (-2/3)x - 4/3 + 12/3

-Result

   y = (-2/3)x + 8/3    

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step-by-step explanation: