Are #y=2/3x-2# and #y=3/2x+1# parallel to each other?

1 Answer
Jan 11, 2017

Answer:

No, they are not parallel because they have different slopes.

See full explanation below.

Explanation:

Parallel lines have the same slope.

You can determine the slope of a line if it is in slope-intercept form, which both of these equations are.

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.

Equation 1) #y = color(red)(2/3)x - color(blue)(2)#

Equation 2) #y = color(red)(3/2)x + color(blue)(1)#

The slope of the first equation is #m = color(red)(2/3)# and the slope of the second equation is #m = color(red)(3/2)#, They are not equal and therefore they are not parallel.