 # How To Get The Point Of Intersection Of Two Lines

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Drag any of the points a b c d around and note the location of the intersection of the lines. To find the intersection point of two lines you must know both lines equations. Points Of Intersection Of A Curve And A Straight Line Straight Lines Igcse Maths Simultaneous Equations

### Drag a point to get two parallel lines and note that they have no intersection. How to get the point of intersection of two lines. If the equations of two intersecting straight lines are given then their intersecting point is obtained by solving equations simultaneously. Click hide details and show coordinates. Once those are known solve both equations for x then substitute the answer for x in either line s equation and solve for y the point x y is the point where both lines intersect.

Given figure illustrate the point of intersection of two lines. Find the equations of both lines. The intersection occurs at the point s where the two equations equal each other.

These two lines are represented by the equation a1x b1y c1 0 and a2x b2y c2 0 respectively. That looks like the correct intersection point to me. Then substitute that x.

So set one equation equal to the other and solve for x. If two straight lines are not parallel then they will meet at a point this common point for both straight lines is called the point of intersection. Adding the direction vectors to the position vectors gives a very close value to both each other and the supposed intersection point.

If these two lines intersect then sometimes it might be important to find the coordinates of this intersection.

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