How do you decide whether the graphs of the two equations are parallel lines: $y=2x-1, y=-2x+1$ ?

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Answer 1 · 2016-12-05T17:41:19

Not parallel

Lines are parallel, if their slope is same.

Slope of y= 2x-1 is 2
Slope of y= -2x+1 is -2.

The slopes are not same (not equal), hence lines are not parallel

Answer 2 · 2016-12-05T17:47:14

Both lines are expressed in slope intercept form $y=mx+p$ where $m$ is the slope.

To be parallel they would have to have the same slope. This is not the case so they are not parallel.

How do you decide whether the graphs of the two equations are parallel lines: y=2x-1, y=-2x+1y=2x-1, y=-2x+1?