how do i write an equation of the line parallel to the line y= 2x+5 and passing through the point (4,6)?

Question

anonymous · Answer

what do you know about the relationship between parallel lines?

anonymous · Answer

parallel = same slope
y= 2x + b
6 = 2(4) + b
6 = 8 + b
b = -2

eq: y= 2x -2

anonymous · Answer

particularly their slopes?

anonymous · Answer

or you can just have some random scrandom just give you the answer thanks bud

anonymous · Answer

ok ok how can b=-2 if b is said to equal 5?

anonymous · Answer

because the b value of parallel lines are not the same. If you think of parallel lines as just the same line in a different position on the graph then the change in b values is what causes the change in position otherwise they are the exact same line.

anonymous · Answer

ok thank you now i understand I just started this business algebra and I haven't done this type of math in over 7 years.

anonymous · Answer

Its fine your welcome