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Deepak Bora
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Find the slope and y-intercept of the following lines: (i) x – 2y – 1 = 0 , (ii) 4x – 5y – 9 = 0 , (iii) 3x + 5y + 7 = 0 , (iv) x/3 + y/4 = 1 , (v) y – 3 = 0 , (vi) x – 3 = 0

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M.L Aggarwal book Important Question of class 10 chapter Based on Equation of a Straight Line for ICSE BOARD.
You have to find the slope and y-intercept for the following lines that  are given in this question.
This is the Question Number 07 Exercise 12.1 of M.L Aggarwal.

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1 Answer

  1. We know that, equation of line whose slope and y-intercept is given by:

    y = mx + c, where m is the slope and c is the y-intercept

    Using the above and converting to this, we find

    (i) x – 2y – 1 = 0

    2y = x – 1

    ⇒ y = (½) x + (-½)

    Hence, slope = ½ and y-intercept = – ½

    (ii) 4x – 5y – 9 = 0

    5y = 4x – 9

    ⇒ y = (4/5) x + (-9/5)

    Hence, slope = 4/5 and y-intercept = -9/5

    (iii) 3x + 5y + 7 = 0

    5y = -3x – 7

    ⇒ y = (-3/5) x + (-7/5)

    Hence, slope = -3/5 and y-intercept = -7/5

    (iv) x/3 + y/4 = 1

    (4x + 3y)/ 12 = 1

    4x + 3y = 12

    3y = -4x + 12

    ⇒ y = (-4/3) x + 4

    Hence, slope = -4/3 and y-intercept = 4

    (v) y – 3 = 0

    y = 3

    ⇒ y = (0) x + 3

    Hence, slope = 0 and y-intercept = 3

    (vi) x – 3 = 0

    Here, the slope cannot be defined as the line does not meet y-axis.

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