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Question 702350: The slope of the line y=3x+2 is 2, and the slope of a line 5y+3x=6 is 2. So are they parallel?
Answer by Simnepi(216)   (Show Source):
You can put this solution on YOUR website! unfortunately, you are wrong.
The slope of the line y=3x+2 is not 2!
The equation of a straight line is usually written in the form
y=mx+c where m, the number in front of the x, is the slope (the gradient) of the line and c is the intercept (this is where it crosses the y axis on the graph).
So considering the line y=3x+2, the slope is, therefore, 3.
All lines with the same gradient are parallel.
the other line 5y+3x=6 looks like it may be parallel but we have to rearrange the equation into the form y=mx+c to compare them.
So let's rearrange 5y+3x=6!
first move the +3x across the equals sign, changing its sign as we do so
this gives
5y=6-3x.
Already we have a -3x instead of a +3x so these lines are not parallel!
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