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Deepak Bora
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The graph of the equation y = mx + c passes through the points (1, 4) and (– 2, – 5). Determine the values of m and c.

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An Important Question of class 10 Based on Equation of a Straight Line Chapter of M.L Aggarwal for ICSE BOARD.
Here given that :
The graph of the equation y = mx + c passes through the points (1, 4) and (– 2, – 5).
So, you have to determine the values of m and c.
This is the Question Number 12 Exercise 12.1 of M.L Aggarwal.

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1 Answer

  1. Given, equation of the line is y = mx + c

    And, it passes through the points (1, 4)

    So, the point will satisfy the line equation

    ⇒ 4 = m x 1 + c

    4 = m + c

    m + c = 4 … (i)

    Also, the line passes through another point (-2, -5)

    So,

    5 = m (-2) + c

    5 = -2 m + c

    ⇒ 2m – c = 5 …(ii)

    Now, on adding (i) and (ii) we get

    3m = 9

    ⇒ m = 3

    Substituting the value of m in (i), we get

    3 + c = 4

    ⇒ c = 4 – 3 = 1

    Therefore, m = 3, c = 1

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