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Math Help - Gradient And Straight Line

  1. #1
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    Gradient And Straight Line

    I'm completely stumped with two of my maths hw questions, and it's due for tomorrow :S

    1. Find the equation of the line passing through P(4, 6) which is parallel to the line with equation 4x - 2y + 6 = 0.

    And

    2. A straight line had equation 3y - 2x = 6.
    Find the gradient and y-intercept of the line.


    Thanks in advance.
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by leapoffaith View Post
    I'm completely stumped with two of my maths hw questions, and it's due for tomorrow :S

    1. Find the equation of the line passing through P(4, 6) which is parallel to the line with equation 4x - 2y + 6 = 0.

    And

    2. A straight line had equation 3y - 2x = 6.
    Find the gradient and y-intercept of the line.


    Thanks in advance.
    1) First find the slope of 4x - 2y + 6 = 0

    Then, use the point-slope form of the equation to define another line through P(4, 6) using the same slope. (Slopes of parallel lines are equal)

    y - y1 = m(x - x1)


    2) Solve the equation for y.

    y = mx + b

    m = gradient
    b = y-intercept
    Last edited by masters; September 16th 2008 at 11:23 AM.
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