How do I find the equations of 2 parallel lines 2 units away from a given line?

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To find the equations of two parallel lines that are 2 units away from a given line, start by identifying the slope and y-intercept of the original line. The perpendicular distance formula can be used to derive the equations of the new lines. Solving the resulting quadratic equation is necessary to determine the specific positions of the parallel lines. It's important to handle absolute value signs correctly during calculations. Understanding these concepts is crucial for successfully finding the parallel lines.
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When you have a line's equation, and are asked to find the equations of the 2 parallel lines to it, which are 2 units away...where do I start?
 
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Joza said:
When you have a line's equation, and are asked to find the equations of the 2 parallel lines to it, which are 2 units away...where do I start?

Do you know what the slope and y-intercept (!) represent?
 
Hey its grand I solved it. It was just solving a quadratic from the perpendicular distance formula. My absolute value signs threw me off!

Thanks anyway!
 

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