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Rearrange the equations to show 6y = 3x + 14 and 9y = -18x - 14.

This gives you the gradients of the two straight lines.

y = 3/6 x + 14/6 and y = -18/ 9 x - 14/9.

The first shows a gradient of 3/6 and the second is -18/9. These are called the co-efficients of x in each equation.

The two gradients cancel down to 1/2 and -2.

One is the negative reciprocal of the other, so the two lines are not parrallel. They a perpendicular to each other.

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Q: Is 3x-6y equals -14 and 18x plus 9y equals -14 is parallel?
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