Nathalie M.

asked • 01/02/17

find the distance between the lines with the equations y=(2/7)x+4 and y= (2/7)-2

Please explain how you solved this.

2 Answers By Expert Tutors

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Michael J. answered • 01/02/17

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5 (5)

Applying SImple Math to Everyday Life Activities

Stephen M. answered • 01/02/17

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4.9 (636)

Naval Academy Grad for Math and Science Tutoring

Mark M.

As written the two equations have the same slope, 2/7 and different y-intercepts, +4, and -2.
Therefore the lines of the equations are parallel.
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01/02/17

Stephen M.

Mark, the x is omitted from the second equation.  As written, second equation is a constant with zero slope.  It's a fairly obvious assumption that the student meant y = (2/7)x -2, but I like to state assumptions anyway.
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01/02/17

Michael J.

Only offsetted (parallel lines) have a consistent distance between them.  So the lines must have the same slope.  Thus
 
y = (2/7) - 4
 
is an error.  And if this was the line, the student could have easily simplified it to make it  y=-26/7.
 
 
This is why students need to check their posts before submitting them.  Makes less of a headache later on.
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01/02/17

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