i have a question on parametric.. The question states
A vector equation $(x,y) = (2,-1) + t(3,2)$. Write as a parametric equation. Show a table with x,y values. Sketch a picture of vector equations. Show at least 4 points.
I don't understand how to do this, this is a test review question, so i have to know this to get prepared for test day after tomorrow. Please help, thankyou
Well, you can plug values in for $t$ in order to get $(x,y)$. For example, using $t=1$ you get $$ (x,y) = (2,-1)+1(3,2) = (5,1) $$ Or, you can write the expressions for $x$ and $y$ independently as $$ x = 2+3t $$ $$ y=-1+2t $$