Answer:
[tex]{\text{C. }y=5x+29[/tex]
Step-by-step explanation:
The slope-intercept form of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept.
The slopes of parallel lines are always equal. Therefore, the slope of the equation we want to find will also be [tex]5[/tex]. The equation of the line must be true for any point it passes through. Thus, we can plug in the point [tex](-6,-1)[/tex] to solve:
[tex]y=mx+b,\\-1=5(-6)+b,\\-1=-30+b,\\b=29[/tex]
Thus, the equation of the line is [tex]\boxed{\text{C. }y=5x+29}[/tex]
