Posted by **Missy** on Saturday, April 30, 2011 at 3:19pm.

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

- Math -
**MathMate**, Saturday, April 30, 2011 at 8:48pm
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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