Question

A city planner is rerouting traffic in order to work on a stretch of road. The equation of the path of the old route can be described as y = two fifths x − 4. What should the equation of the new route be if it is to be parallel to the old route and will go through point (Q, P)?


y − Q = negative five halves(x − P)

y − Q = two fifths(x − P)

y − P = negative five halves(x − Q)

y − P = two fifths(x − Q)

Answer 1

y - P = -5/2 (x - Q) is  the equation of the new route be if it is to be parallel to the old route .

What is an example of parallel lines?

• Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry.
• Both horizontal and vertical shapes are possible.
• Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.

The equation of the path of the old route can be described as y = two fifths x − 4.

  so the equation is

                           y - P = -5/2 (x - Q)

Learn more about parallel lines

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