Maths-
General
Easy

Question


The scatterplot above shows the number of registered voters, , x and the number of people who voted in
the  last election, y , for seven districts in a town. A line of best fit for the data is also shown. Which of the following could be the equation of the line of best fit?

  1. y equals negative 0.5 x
  2. y equals 0.5 x
  3. y equals negative 2 x
  4. y = 2x

hintHint:

Hint:
  • Equation of straight line can be written as y minus y subscript 1 equals m open parentheses x minus x subscript 1 close parentheses ∣

The correct answer is: y equals 0.5 x


    Explanation:
    • We have given a plot of the number of registered voters, x, and the number of people who voted in the last election, y, for seven districts in a town.
    • We have to find the equation of the line in the plot.
    Step 1 of 1:
    The given plot is

    We take two points on from the graph and then write the equation.
    So,
    Two points are left parenthesis 120 comma 60 right parenthesis semicolon left parenthesis 300 comma 150 right parenthesis
    Since this is a straight line, we will write equation using point slope form.
    text  slope  end text equals fraction numerator 150 minus 60 over denominator 300 minus 120 end fraction
    equals 90 over 180
    equals 1 half
    So, The equation will be
    left parenthesis y minus 60 right parenthesis equals 1 half left parenthesis x minus 120 right parenthesis
    2 y minus 120 equals x minus 120
    2 y equals x
    y equals 1 half x
    y equals 0.5 x
    Hence, Option B is correct.

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