Decide if the graphs of the two lines are parallel.

2x+3y=35 y=2/3x-2

For lines to be parallel their slopes must be equal. You need to put these equations into slope-intercept form:

y = mx + b

3y=35-2x y=2/3x-2

y=(35-2x)/3 y=2/3x-2

y=-2/3x+35/3 y=2/3x-2

-2/3 is not equal 2/3 , so the graph of the two lines are not parallel.

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