Are #y=3x+7# and #y=3x-8# parallel to each other?

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Answer 1 · 2017-01-13T13:55:35

Yes, they are parallel to each other. See full explanation of why below.

Two lines are parallel if they have the same slope.

You can find the slope of a line using the slope-intercept form of the equation which these two equations are already in.

The slope-intercept form of a linear equation is:

#y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b# is the y-intercept value.

#y = color(red)(3)x + color(blue)(7)#

#y = color(red)(3)x - color(blue)(8)#

Both of these equations have the same slope of #color(red)(m = 3)#

Therefore these two lines are parallel.