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Deepak Bora
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The equation of a line is y = 3x – 5. Write down the slope of this line and the intercept made by it on the y-axis. Hence or otherwise, write down the equation of a line which is parallel to the line and which passes through the point (0, 5).

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M.L Aggarwal book Important Question of class 10 chapter Based on Equation of a Straight Line for ICSE BOARD.
Here equation a line is given. You have to find the slope of this line and the intercept made by it on the y-axis
This is the Question Number 16, Exercise 12.2 of M.L Aggarwal.

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  1. Given line: y = 3x – 5

    Here slope (m1) = 3

    Substituting x = 0, we get y = – 5

    Hence, the y-intercept = – 5

    Now, the slope of the line parallel to the given line will be 3 and it passes through the point (0, 5).

    Thus, equation of the line will be

    y – y1 = m (x – x1)

    y – 5 = 3 (x – 0)

    y = 3x + 5

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