Question

Give the equations of three lines passing through (-3,12), how many more such lines are possible and why?​

Answer 1

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Given point is (3,12)

⟹x=3,y=12

The lines formed can be x+y=3+12=15,x−y=3−12=−9

The two lines passing through (3,12) are x+y=15,x−y=−9

Also y=4x,5x−y=3,⋯ lines passes through (3,12)

There are infinitely many lines passing through (3,12). Since many lines can be drawn through a given point

Answer 2

Answer:

There are infinitely many lines passing through(3,12). Since infinitely many linescan be drawn through a given point.