Answer:
Option A. [tex]y=5x+29[/tex]
Step-by-step explanation:
step 1
Find the slope of the line parallel to the given line
we have
[tex]y=5x+2[/tex]
The slope of the given line is
[tex]m=5[/tex]
Remember that
If two lines are parallel, then their slopes are equal
therefore
The slope of the line parallel to the given line is also [tex]m=5[/tex]
step 2
Find the equation of the line parallel to the given line in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=5[/tex]
[tex]point\ (-6,-1)[/tex]
substitute and solve for b
[tex]-1=5(-6)+b[/tex]
[tex]-1=-30+b\\b=30-1\\b=29[/tex]
substitute
[tex]y=5x+29[/tex]
