We have to find the equation of a line that pass through the point (-3,5) and is parallel to the line 25x+3y=15.
All parallel lines to 25x+3y=15 can be written as:
[tex]25x+3y=C[/tex]
where C is a constant that allows us to change the position of the line to fit any point.
As the point (-3,5) belongs to the line we are looking for, it has to satisfy the equation. So we can write:
[tex]\begin{gathered} 25x+3y=C \\ 25(-3)+3(5)=C \\ -75+15=C \\ C=-60 \end{gathered}[/tex]
With the value of C defined, we can write the equation of the line as:
[tex]25x+3y=-60[/tex]
Answer: 25x+3y=-60
