Give the equations of two lines passing through (3, 12). How many mor

1.	Give the equations of two lines passing through (3, 12). How many more such lines are there, and why?
Answer» Equation of line passing through a point (a, b) (x – a) = m(y – b) Where ‘m’ is an integer There are infinite lines passing through a point. Equation of two lines passing through (3, 12) Taking m = 1, 2 ⇒ x – 3 = y – 12 ⇒ x – y + 9 = 0 And, (x – 3) = 2(y – 12) ⇒ x - 3 = 2y – 24 ⇒ x – 2y + 21 = 0

Give the equations of two lines passing through (3, 12). How many more such lines are there, and why?

Answer»

Equation of line passing through a point (a, b)

(x – a) = m(y – b)

Where ‘m’ is an integer

There are infinite lines passing through a point.

Equation of two lines passing through (3, 12)

Taking m = 1, 2

⇒ x – 3 = y – 12

⇒ x – y + 9 = 0

And,

(x – 3) = 2(y – 12)

⇒ x - 3 = 2y – 24

⇒ x – 2y + 21 = 0