Question

what is the equation of the line that is parallel to y=2x+8yand goes through point (−4,1)?

Answer 1

y=2x+8 slope = 2

parallel to y=2x+8, so equation has same slope = 2
goes through point (−4,1)
then
y = mx+b
1 = 2(-4) + b
b = 9

so the equation
y = 2x + 9