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Math Help - Linear Applications

  1. #1
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    Linear Applications

    hello..
    um i need some help to understand these questions please..

    1. The length of the line joining A(2,-1) and B(5,y) is 5 unit. find y.

    Please the only thing um stuck on is i dont get what 5 units means???

    2.The point (h,k)lies on the line y=x+1 and is 5 units from the point (0,2). write down two equations connecting h and k..Again i dont understand the 5 unit..

    PLease someone be niice enough and help me out..Much aprreciated it..Thankyou

    Peace Out
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  2. #2
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    Quote Originally Posted by Tawar View Post
    hello..
    um i need some help to understand these questions please..

    1. The length of the line joining A(2,-1) and B(5,y) is 5 unit. find y.

    Please the only thing um stuck on is i dont get what 5 units means???

    2.The point (h,k)lies on the line y=x+1 and is 5 units from the point (0,2). write down two equations connecting h and k..Again i dont understand the 5 unit..

    PLease someone be niice enough and help me out..Much aprreciated it..Thankyou

    Peace Out
    1. From the distance formula: Solve 5^2 = (2 - 5)^2 + (-1 - y)^2 for y.

    2. The first equation is obviously h = k + 1.

    The second equation is found by noting that the distance between the point (h, k) and (0, 2) is 5 units. Now apply the distance formula.
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  3. #3
    MHF Contributor

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    Quote Originally Posted by Tawar View Post
    hello..
    um i need some help to understand these questions please..

    1. The length of the line joining A(2,-1) and B(5,y) is 5 unit. find y.

    Please the only thing um stuck on is i dont get what 5 units means???
    5 inches or 5 feet or whatever units you are measuring distance in. The distance from A to B is \sqrt{(2- 5)^2+ (-1-y)^2}= 5 so 9+ (y+1)^2= 25 solve that for y.

    2.The point (h,k)lies on the line y=x+1 and is 5 units from the point (0,2). write down two equations connecting h and k..Again i dont understand the 5 unit..
    Since (h, k) is on y= x+1, k= h+1. Since it is 5 "units" (again, just whatever you are measuring distance in) from (0,2), \sqrt{(h-0)^2+ (k- 2)^2}= 5 or just h^2+ (k-2)^2= 25.

    PLease someone be niice enough and help me out..Much aprreciated it..Thankyou

    Peace Out
    Last edited by mr fantastic; December 30th 2009 at 08:16 PM. Reason: Fixed a closing quote tag
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