Point of Intersection of Two Lines

This math recipe will help you find the point of intersection of two lines in the XY plane.

Easy

Example 1 Find the point of intersection of the lines 2x + y = 4 and x + y = 3.

Solution

Here are the two lines and their intersection point.

Example 2 Find the point of intersection of the lines 2x + y = 4 and 4x + 2y = 0.

Solution

The following figure shows the two parallel lines.

Example 3

Solution

The following figure shows the two coincident lines.

That’s all for this recipe. Hope you found it helpful.

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