To find the intersection point of two lines, you must know both lines' equations. 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.
Continue ReadingDepending on the situation, both equations might be given, or the equations might have to be calculated from other given information or from an illustration. Calculate the equations in either a point/slope form or a slope/intercept form. Either form works with this process.
Once the equations are known, rearrange the equations to get the "x" variables on one side of the equal sign and the "y" variables on the other. Solve the equations to the point where one "y" is on one side of the equation, and all the "x" variables are on the other.
Since both equations now equal "y," they equal each other. Put one of them on each side of the equal sign. This allows solving for "x."
Using mathematical processes, solve the equations for the value of "x."
Once you have the value of "x," substitute that value for the "x" variables in one of the original equations. Either equation gives the same answer.
Simply solve the newly written equation, and obtain the value of "y."
The intersection point of the two lines is the point (x,y). Once both values are obtained, that is the answer.