Maths-
SAT
Easy

Question


Line l is shown in the xy-plane above. Line m (not shown) is parallel to line l and passes through the point (0,3). Which of the following is an equation of 
line m?

  1. y equals negative 2 over 3 x plus 3
  2. y equals negative 3 over 2 x plus 3
  3. y equals 2 over 3 x plus 3
  4. y equals 3 over 2 x plus 3

The correct answer is: y equals negative 2 over 3 x plus 3


    Line l passes through (0,2) & (3,0)
    Slope of line l = slope of line m equals fraction numerator 0 minus 2 over denominator 3 minus 0 end fraction equals fraction numerator negative 2 over denominator 3 end fraction
    Line m = y = mx + c
    y equals fraction numerator negative 2 over denominator 3 end fraction x plus c passes through (0,3)
    3 equals fraction numerator negative 2 over denominator 3 end fraction left parenthesis 0 right parenthesis plus c
    C = 3
    Line m = y =   fraction numerator negative 2 over denominator 3 end fraction x plus 3

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