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Hi it's Jordan again. When you have two lines how do you deduce/show that they don't intersect? For example if I have 3y=4x-10 and 3y=4x+40

do I make them equal to each other to get 0=-50? Thanks for your help

Hi Jordan,

Parallel lines never intersect. This means that for two lines not to intersect their slopes must be equal. So all you have to do is compare the slopes, you can write the equations in the form y = mx + c if it makes it easier. In your example the lines don't intercept as they both have slopes equal to 4/3.

Regards

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