We want to find a parallel line to y = (3/5)x + 17 passing through the point (-5,15)
Any two lines are parallel if they have the same slope.
Therefore, the line we are looking for must have slope 3/5
If the line passes through (-5,15), its slope s must be given by:
[tex]\begin{gathered} 15=\frac{3}{5}x+s \\ 15=\frac{3}{5}(-5)+s \\ 15=-3+s \\ s=18 \end{gathered}[/tex]
Therefore, the line is given by:
[tex]y=\frac{3}{5}x+18[/tex]
