1)Find a parralell line of the equation: y=4x+3. (2) Find a perpendicular line of the equation: y=4x+3. (3) How do you find parallel lines? Perpendicular lines?

Question

 Please help me with these three problems. I don't get how to do it. It would be a grateful if anyone can solve them. 

Answer 1

The definition of a parallel line is that m₂ = m₁ . Since the first line has a slope of 4, ANY line you invent with the same slope is a valid answer (you can change the 3 to any other number you like).

Perpendicular lines have a slightly uglier property:  m₂ = -1

                                                                                    m₁

In other words, a perpendicular slope will be upside down and backwards. The slope was 4, so if you flip and reverse it, you get:

                                                                            m₂ = -1

                                                                                     4

You need only replace the 4 with the new slope, and change that pesky 3 to anything you want.