Give the equations of two lines passing through (2, 14). How many more such lines
are there, and why?
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Answer:
there are many probably infinite lines passing through a point of coordinates (2,14)
why ?
because we know that infinite line can pass through a single point.
for example
x+y = 3
x-y = 1
so it's solution is x = 2 , y =1
now we can write another equation
3x +y = 7
2x -y = 3
it's solution is also x = 2 , y =1
like that many such equations can be formed .
so infinite number of lines of two equations can pass through a point having a particular coordinate
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