A parks and recreation department is constructing a new bike path. The path will be parallel to the railroad tracks shown and pass through the parking area al the point (4, 5). Write an equation that represents the path.

ddaeeric

ddaeeric

Answered question

2021-03-07

A parks and recreation department is constructing a new bike path. The path will be parallel to the railroad tracks shown and pass through the parking area al the point (4, 5). Write an equation that represents the path.

Answer & Explanation

Demi-Leigh Barrera

Demi-Leigh Barrera

Skilled2021-03-08Added 97 answers

Calculation:
As the given in the figure the railroad track and passes through the points (11, 4) and (8, 0). Therefore slope is 04811=43=43.
As the new bike path is parallel to rail road track so slope are equal. Slope of new bike path is 43.
Equation of new bike path is:
y5=43(x4)
3y15=4x16
4x3y=1615
4x3y=1
Thus, equation of the bike path is 4x  3y=1.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-27Added 2605 answers

Answer is given below (on video)

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