Answer:
[tex]$ y = 5x - 42 $[/tex]
Step-by-step explanation:
The equation of parallel line differ only by their constant.
Hence, the equation of the line parallel to [tex]$ y = 5x - 2 $[/tex] is nothing but [tex]$ y = 5x + c $[/tex]
When a point passing through this line is given we can substitute the point in this line and get the value for [tex]$ c $[/tex].
The line passes through [tex]$ (8 , -2) $[/tex].
Therefore, we have: [tex]$ -2 = 5(8) + c $[/tex]
[tex]$ \implies c = -42$[/tex].
Substituting this we get the equation of the parallel line as [tex]$ y = 5x - 42 $[/tex].
