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High students in this video, let's learn how to find the point of intersection of two lines.

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All right.

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Now, before we go into the dynamics of finding the solution, let's try to visually understand what

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it means that two lines are intersecting.

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All right.

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Over here.

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I have my x axis and this is my y axis right now.

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Say, one of the given lines is this one.

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All right.

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Now, say the other line is this one.

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Now we know how we can plot it.

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Right.

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We just need to find two points that lie on the line.

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And if you join, then you will get that line.

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All right.

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Now, you have these two lines.

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Now, visually, you can see that these two lines, that is line one and line two intersect at this

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point.

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Let me call it point B and let it have the coordinates X and Y right now.

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What does this mean?

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This means that B, X, Y is a solution for the equation of line one and line two.

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That is whatever value you get over here, if you substituted into the equation of line one, it is

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satisfied.

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And if you substitute X and Y into the equation of line two, that will also satisfy the equation given

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right now.

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This is what we mean when we say that two lines are intersecting.

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And to find the point of intersection, all you need to do is you need to solve for the common solution

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of the two given equations.