Question

Do the equations y = - 5/4x + 2 and 10x + 8y = 16 define the same line?

Answer 1

In order to solve this you could take the two equations and put them in the same format. 
The first equation:          y = - 5/4x + 2
The second equation:    10x + 8y = 16  For this one, you could take the 16                                                                 and subtract it, and then take the 8y                                                               and subtract it.                                                                        10x - 16 = -8y   Divide both sides by -8                                                         -10/8x + 2 = y    Simplify
                                    -5/4x + 2 = y
Now you can compare the two equations:
Equation 1: y = - 5/4x + 2
Equation 2: y = - 5/4x + 2 

You can obviousley see that they are in fact the same.