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 fifthsx − 4. What should the equation of the new route be if it is to be perpendicular to the old route and will go through point (P, Q)?

Step-by-step explanation:

Required

Equation that goes through (P,Q) and is perpendicular to

The equation of a line is:

Where

So by comparison:

The following relationship exists for perpendicular lines

So, we have:

This results to:

---- This represents the slope of the new route

The equation is then calculated using:

Where

and

This gives:

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step-by-step explanation:

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answer