SOLUTION: Are the lines parallel, perpendicular, or neither? 3x+4y=12 and 6x+2y=7

Question 805405: Are the lines parallel, perpendicular, or neither? 3x+4y=12 and 6x+2y=7
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Neither.
If two lines are parallel, they have the same slope.
If two lines are perpendicular, the product of their slopes is .

To find the slope we could solve for y to get the slope intercept form of the equation.
We do not really need the intercept. We only need the slope, but it's not hard.
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The slopes are and .
They are not the same number, so the lines are not parallel.
When you multiply them,
,
you do not get , so the lines are not perpendicular either.

Maybe, to find slopes, you've been told that for a linear equation in the form
(like and ),
the slope is ,
which means take the coefficient of the x, change its sign, and divide it by the coefficient of the y.
Maybe you are expected memorize formulas and do that.
With, you take the , change it into , and divide by to get
With ), you take the 6, change it to -6, and divide by 2 to get

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