SOLUTION: How is the meeting point of two linear functions (equations) with differing slopes calculated. Thanks.

Question 103152: How is the meeting point of two linear functions (equations) with differing slopes calculated.
Thanks.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Intersection of any two equations (linear or not) is handled by setting the equations equal to each other.
Here's an example.
1.
2.
The intersection would be where .

You can then proceed to solve for x.

Once you have x, you can calculate y from (1) or (2) to get your intersection point.
Here's an example

The intersection point for this example is (-1,2).

Just as an interesting point, if the slopes of your lines were equal to each other, then your equation for would fail because of division by zero. In that case, since the slopes are equal, the lines never meet because they are parallel.
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