When travelling on a road, you are either going to travel parallel to another road or you will eventually cross it. Lines are very much the same. Two lines on the Cartesian plane are either parallel or intersecting. If lines are intersecting, we want to find where they cross or their point of intersection.
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Sometimes we need to change the form of a quadratic depending on what the situation is. One way of taking a general quadratic and rewriting it in vector form, is to “complete the square”. Learn about what this means and work through some examples to further your understanding.