Mathematics
Grade6
Easy

Question

Write the equation.

  1. y = 4x + 3
  2. y = 4x -3
  3. y = 3x + 4
  4. y = 8x + 2

hintHint:

An equation represents the relationship between 2 coordinates viz. x & y.
To find the equation that matches the coordinates given in the table, we use 2 point formula of a line i.e.-
(y-y1)/ (x-x1) = (y2-y1)/ (x2-x1)

The correct answer is: y = 4x + 3


    GIVEN-
    x1 = 0, y1 = 3, x2 = 2, y2 = 11, x3 = 4, y3 = 19, x4 = 6, y4 = 27, x5 = 8, y5 = 35
    TO FIND-
    Equation that matches the given coordinates
    SOLUTION-
    we observe that (0,3) and (2,11) are 2 points on the given line.
    Hence, we use 2 point formula of a line to find its equation.
    (y-y1)/ (x-x1) = (y2-y1)/ (x2-x1)
    ∴ (y-3)/ (x-0) = (11-3)/ (2-0)
    ∴ (y-3)/ x = 8/2
    ∴ (y-3)/ x = 4/1 ............................. (Dividing numerator and denominator by 2)
    ∴ 1 (y-3) = 4 x ...................... (Cross multiplying)
    ∴ y - 3 = 4x
    ∴ y = 4x + 3 ....................... (Adding both sides with 3)
    FINAL ANSWER-
    Option 'a' i.e. 'y = 4x + 3' is the correct answer to the given question.

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