# Coding Interview Question: Line Intersection ## Question

Given two lines on a Cartesian plane, write a function to determine whether or not the lines intersect.

eg.

`intersect(2x + 5, 3x + 10) = True`

Once you think that you’ve solved the problem, click below to see the solution.

As always, remember that practicing coding interview questions is as much about how you practice as the question itself. Make sure that you give the question a solid go before skipping to the solution. Ideally if you have time, write out the solution first by hand and then only type it into your computer to verify your work once you've verified it manually. To learn more about how to practice, check out this blog post.

## Solution

How was that problem? You can check out the solution in the video below.

Here is the source code for the solution shown in the video:

```public class Line {
private static double epsilon = 0.00001;
private double slope;
private double yIntercept;

public Line(double slope, double yIntercept) {
this.slope = slope;
this.yIntercept = yIntercept;
}

public boolean intersect(Line line) {
if (this.equals(line)) return true;
if (Math.abs(slope - line.slope) > epsilon) return true;
return false;
}

@Override
public boolean equals(Object o) {
if (!(o instanceof Line)) return false;
Line line = (Line) o;
return Math.abs(slope - line.slope) < epsilon &&
Math.abs(yIntercept - line.yIntercept) < epsilon;
}
}```  