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    

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.

i believe the answer is the polygon, heptagon.