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Verify that the equation of a line passing through the point of intersection of two lines aix+ by +c=0 and a2x + b₂y+c2=0 is of the form

Question

Verify that the equation of a line passing through the point of intersection of two lines aix+ by +c=0 and a2x + b₂y+c2=0 is of the form

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Solution

I'm sorry, but you didn't provide a specific equation for me to verify. However, I can explain the general process of how to verify that a line passes through the intersection of two other lines.

Step 1: Find the point of intersection of the two given lines. You can do this by setting the two equations equal to each other and solving for x and y.

Step 2: Substitute the x and y values of the point of intersection into the equation of the line you're trying to verify. If the equation holds true, then the line does pass through the point of intersection of the two given lines.

Step 3: If the equation does not hold true, then the line does not pass through the point of intersection of the two given lines.

Please provide the specific equations if you want a more detailed solution.

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