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2y= 3x+6

Q: Which equation represents a line that is parallel to the line whose equation is 2x 3y12?

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Without an equality sign it's no kind of any equation but if you mean 3y=12 then y=4

None because without an equal sign it's not an equation but some kind of an algebraic expression.

The equation has been distorted in the question (as usual on this site). The general idea is to solve the equation for "y"; read off the slope from the resulting equation; then divide minus 1 by this slope to get the slope of the perpendicular line.

I guess your two equations are:4x - 6y = 22x + 3y = 12Since the plus (+) and equals (=) signs have been stripped from your question.If this is the case, then they are not parallel since their gradients are not the same.Without working them out exactly, it can be seen that one is positive (equation 1.) and the other is negative (equation 2.):4x - 6y = 2 ⇒ 6y = 4x - 2 ⇒ +ve gradient2x + 3y = 12 ⇒ 3y = -2x + 12 ⇒ -ve gradient

If you mean: 2x+3y = 12 then y = -2/3x+4 whereas -2/3 is the slope and 4 is the y intercept

y=2/3x+4

Do you mean 4x-3y = 12 then it is at (3, 0)

If you mean: 6x+3y = 12 then it is y = -2x+4 in slope-intercept form

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. Also use ^ to indicate powers (eg x-squared = x^2).

If you mean: 6x+3y = 12 then it is y = -2x+4 in slope-intercept form

If you mean: -4x+3y = 12 then y = 4/3x+4 whereas 4/3 is the slope and 4 is the y intercept

If you mean: 6x-3y = 12 Then: -3y = -6x+12 And: y = 2x-4 So: the slope is 2 and the y intercept is -4