Cut point between two lines

In this video I will explain how find the intersection point between two lines. To do this, we will have to use the ecuation systems.

First of all, we will find out if the two given lines are parallel. We can do this in two ways: from the explicit equation and from the general equation. Watch video relative positions of the line.

Once we know that these lines are not parallel and, therefore, have a cut-off point, we will find this point using a system of equations. Remember there are three methods for making systems of equations:

• substitution method:one of the unknowns of one of the equations is solved and the value of that unknown is substituted in the other equation. The equation is solved and the result is substituted into the first of the equations.
• matching method: the same unknown is solved in both equations and the result is equal. The equation is solved and the obtained value is substituted in any of the two equations already cleared.
• reduction method: it is about preparing the equations to be able to add them and eliminate one of the unknowns. This is done by multiplying one of the equations by a number. The equation is solved and the result is substituted into any of the initial equations.
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You will understand this explanation much better in the video through the examples. In addition, you can practice with ecuation systems to find out the intersection point between two lines with the printable exercises with their solutions that I have left you on the web.