High students in this video, let's learn how to find the point of intersection of two lines.
All right.
Now, before we go into the dynamics of finding the solution, let's try to visually understand what
it means that two lines are intersecting.
All right.
Over here.
I have my x axis and this is my y axis right now.
Say, one of the given lines is this one.
All right.
Now, say the other line is this one.
Now we know how we can plot it.
Right.
We just need to find two points that lie on the line.
And if you join, then you will get that line.
All right.
Now, you have these two lines.
Now, visually, you can see that these two lines, that is line one and line two intersect at this
point.
Let me call it point B and let it have the coordinates X and Y right now.
What does this mean?
This means that B, X, Y is a solution for the equation of line one and line two.
That is whatever value you get over here, if you substituted into the equation of line one, it is
satisfied.
And if you substitute X and Y into the equation of line two, that will also satisfy the equation given
right now.
This is what we mean when we say that two lines are intersecting.
And to find the point of intersection, all you need to do is you need to solve for the common solution
of the two given equations.