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Math Help - Co-ordinate geometry question.....

  1. #1
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    Co-ordinate geometry question.....

    Hey im new, stuck on this question anyone help me?

    (A) Find an equation of the line l which passes through the points A(1,0) and B(5,6)?...( I got y = 3/2 x + 3/2)???)

    The line m with the equation 2x + 3y = 15 meets l at the point C

    (B) Determine the coordinates of C

    THe point P lies on m and has x co-ordinate of -3

    (c) Show by caclulation PA = PB

    Thanks in advanced
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by cougar View Post
    Hey im new, stuck on this question anyone help me?

    (A) Find an equation of the line l which passes through the points A(1,0) and B(5,6)?...( I got y = 3/2 x + 3/2)???)
    no, it should be y = \frac 32x - \frac 32

    The line m with the equation 2x + 3y = 15 meets l at the point C

    (B) Determine the coordinates of C
    just set the lines equal to each other

    you have y = \frac 32x - \frac 32 and y = - \frac 23x + 5

    so, \frac 32x - \frac 32 = - \frac 23x + 5

    now solve for x and then you can solve for y and then you have your point

    THe point P lies on m and has x co-ordinate of -3

    (c) Show by caclulation PA = PB

    Thanks in advanced
    first, find the corresponding y-coordinate for x = -3 on the line m

    you can use the distance formula to find the length PA and the length PB and show they are equal to each other.
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