PRE-CALC/TRIG: Eliminate the parameter and identify the curve:
x-2t-3, y=9-4t, 3

Question

PRE-CALC/TRIG: Eliminate the parameter and identify the curve: 
x-2t-3, y=9-4t, 3<t<5 <--(both less than or equal to.) I understand how to eliminate the parameter, but how do you identify the curve?

nikvist · Answer

$$x=2t-3\quad,\quad y=9-4t\quad;\quad 3\le t\le 5$$$$y=9-2\cdot 2t=9-2(x+3)=3-2x$$this is line between (3,-3) and (7,-11).