You can put this solution on YOUR website! Start by putting both into slope-intercept form: y = mx+b
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y=3x-2 is given
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2y = 6x + 5 needs to be reconfigured.
divide by 2
y = 3x + 5/2
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The slope of each equation is 3, so they will be either parallel or lying one on top of the other (thus giving the appearance of a single line).
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If they are actually a single line, then they will have the same y-intercept.
Recall the y-intercept is the point where x=0, which is 'b' in the slope-intercept equation.
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The y-intercept of the first equation is: (0, 5).
The y-intercept of the second equation is: (0, 5/2)
So, they are parallel.
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You can confirm by graphing...
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Done.
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