ANSWER
[tex](t, \frac{5}{2}t - 3) \: \: where \: t \in \: R[/tex]
EXPLANATION
The given line is
[tex]5x - 2y = 6[/tex]
This is a linear equation in two variables.
There are infinitely many solutions.
Let us solve for y.
[tex] 2y = 5x - 6[/tex]
[tex] \frac{2y}{2} = \frac{5}{2} x - \frac{6}{3} [/tex]
[tex]y = \frac{5}{2}x - 3[/tex]
Let
[tex]x = t[/tex]
Then
[tex]y =\frac{5}{2}t - 3[/tex]
The group of ordered pairs which are on the given line are represented by:
[tex](t, \frac{5}{2}t - 3)[/tex]
Where t is real number.
