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Question
Give the equation of two lines passing through (2,-3). How many more such lines are there and why?
Give the equation of two lines passing through (2,-3). How many more such lines are there and why?
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Solution
Equation of lines passing through the point (2, -3) are:
x + y = -1 ; 2x + y = 1 etc...
Infinite number of lines pass through a given point. This is because for a unique equation of line, we must have 2 conditions. When only 1 condition is given, we can have infinite number of lines.
Equation of lines passing through the point (2, -3) are:
x + y = -1 ; 2x + y = 1 etc...
Infinite number of lines pass through a given point. This is because for a unique equation of line, we must have 2 conditions. When only 1 condition is given, we can have infinite number of lines.
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