Respuesta :

Answer:

Equation of line is Y = X + 2

Step-by-step explanation:      

Given in problem as ,

F (0) = 2     , and F (2) = 4

∵ we write value of y in function of x  i.e   y = F( x)

so, from F (0) = 2   ,  x =0   and y = 2

Again,    F (2) = 4   ,   x =2  and y = 4

so, from here we get co ordinate points as  (x ,y ) =( 0 ,2 ) and ( 2 , 4)

with this two points we can find slop ( m ),

So , m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

      m = [tex]\frac{4 - 2}{2 - 0[/tex]

      m = [tex]\frac{2}{2}[/tex]

i.e slop = 1

∴ we can write a linear equation with slop and points

  Y - y1 = m ( X - x1)

  Y - 2 =  1   (X - 0)

Hence equation of line is Y = X + 2       Answer

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