Question
Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter. $x=3-2 t, \quad y=2+3 t$
Step 1
We can do this by substitifying $t=0$ and $t=1$ into the equations. For $t=0$, we get $x=3-2(0)=3$ and $y=2+3(0)=2$. So, the first point is $(3,2)$. For $t=1$, we get $x=3-2(1)=1$ and $y=2+3(1)=5$. So, the second point is $(1,5)$. Show more…
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