Question

find an equation of the line passing through the point (5,4) and parallel to the line whose equation is 2x+y=3

Answer 1

A thorough knowledge of slopes is key here... first, what is the slope of the line
2x + y = 3?

Answer 2

There are many ways to get the slope, they all should result in the same thing. A typical way is to rearrange the equation of the line into a form like this:\[\Large \color{blue}y=\color{green}m\color{red}x+b\]

In which case, your slope is \(\color{green}m\)

Answer 3

yes its 2x+y=3