Are the lines 2y = 4x – 2 and y = 2x – 1 parallel?
In this example, the second equation is already in the slope-intercept form so we can see that its slope is 2 and its y-intercept is -1. To get the first equation into that form, we’ll have to divide both sides of the equation by 2. 2y = 4x – 2 y = 2x – 1 Looking at that equation tells us that this lines slope is also 2. Remember that, before you reach a conclusion, you also have to look at the y-intercept. Since those values are also the same for the two equations, we would conclude that the lines aren’t parallel because they overlap.
