Maths-
General
Easy

Question


The graph of the linear function f is shown. Which equation defines f ?

  1. f left parenthesis x right parenthesis equals negative 1 half x plus 2
  2. f left parenthesis x right parenthesis equals negative 1 half x minus 2
  3. f left parenthesis x right parenthesis equals negative 2 x plus 2
  4. f left parenthesis x right parenthesis equals negative 2 x minus 2

The correct answer is: f left parenthesis x right parenthesis equals negative 2 x plus 2


    HINT : find the equation of line from two point form of the line
    Explanation :Finding equation for line passing through {(0,2),(1,0)} from 2 point form is
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y minus y 1 equals fraction numerator y 2 minus y 1 over denominator x 2 minus x 1 end fraction left parenthesis x minus x 1 right parenthesis end cell row cell y minus 2 equals fraction numerator 0 minus 2 over denominator 1 minus 0 end fraction left parenthesis x minus 0 right parenthesis end cell row cell y minus 2 equals negative 2 left parenthesis x right parenthesis end cell row cell y equals negative 2 x plus 2 end cell end table
    therefore f left parenthesis x right parenthesis equals negative 2 x plus 2 is the function that defines f .

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