Answer:
[tex]y=-5x-27[/tex]
Step-by-step explanation:
Since we are finding a parallel line, the slopes will be the same, so the second equation will also have a slope of -5.
Then, to find the y-intercept, we can use the point given and plug in.
[tex]y=-5x+b[/tex]
[tex]3=-5(-6)+b[/tex]
[tex]3=b+30[/tex]
[tex]b=-27[/tex]
So the equation comes out to be [tex]y=-5x-27[/tex]
We can check by plugging in the given point again.
[tex]3=-5(-6)-27[/tex]
[tex]3=30-27[/tex]
[tex]3=3[/tex]
