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Consider the line passing through the points (2, 1) and (-2, 3). Find the parametric equation for y if x = t + 1.

  • Math -

    Find the line that pass through the two points P1(2,1), and P2(-2,3) in rectangular coordinates:
    (x2-x1)(y-y1)=(y2-y1)(x-x1)
    (-2-2)(y-1) = (3-1)(x-2)
    -4(y-1) = 2(x-2)
    2y+x=4
    Solve for y in terms of x:
    y=-x/2 + 2
    substitute x=t+1
    y=-(t+1)/2+2
    =-t/2 + 3/2
    So:
    x=t+1
    y=t/2 + 5/2

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