The required equation of the parallel track that runs through the point (4 , -2) is 2x + 5y = −2.
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decided to create parallel tracks through this portion of the railway.The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2) TO determine.
The equation is the relationship between variables and represented as y=ax + b is an example of a polynomial equation.
Equation of the southbound track,
2x + 5y = 15
slope of the above equation is m = -2/5
Since the slope of the parallel lines are equal.
The equation of the parallel northbound track that runs through the point (4, – 2),
(y + 2) = -2/5 (x - 4)
5(y + 2) = -2 (x-4)
5y + 10 = - 2x +8
2x + 5y = 8-10
2x + 5y = -2
Thus, the required equation of the parallel track that runs through the point (4 , -2) is 2x + 5y = −2.
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