SOLUTION: Find vector equation for the line with the following cartesian equation (a) X+3y=7 (b) 2x-5y=3

(a)  vector equation is  (x,y) = (7-3t, t),  where 't' is the parameter, which may have any real value.


     We take 'y' as the parameter 't',  and express x via y from the equation,   
                                        replacing there 'y' with 't'.



(b)  vector equation is  (x,y) = (, ),  where 't' is the parameter, which may have any real value.  


     We take 'x' as the parameter 't',  and express y via x from the equation,   
                                        replacing there 'x' with 't'.