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  • Perplex
    IB Math AASL
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    Cartesian plane & lines
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    Problem Bank - Cartesian plane & lines

    Access custom-built, exam-style problems for cartesian plane & lines. Each problem has a full solution and mark-scheme, as well as AI grading and support.

    22 Problems Available

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    IB: 4
    1

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    The line L passes through the points P(1,2) and Q(5,−2).

    1. Find the slope of L.

      [1]
    2. Determine an equation for L in the form y=mx+c.

      [2]
    3. Find the midpoint of [PQ].

      [2]
    2

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    The line L1​ passes through the points A(1,−2) and B(1,3).

    1. Write down the equation of L1​.

      [1]

    A second line, L2​, is perpendicular to L1​ and passes through C(−4,5).

    1. Find the equation of L2​ in the form y=mx+c.

      [2]

    The point P lies on L1​, and the point Q lies on L1​ and L2​.

    1. Given that P is equidistant from A and Q, find the coordinates of P.

      [2]