Question

Give the equation of two lines passing through(1,3).How many lines are there?​

Answer 1

Answer:

equation- x+3y=0

Step-by-step explanation:

There can be infinite lines since this equation is in two variables.

Answer 2

Answer:

y = x+2 ; y =2x +1; Infinite

Step-by-step explanation:

There are infinitely many lines passing through any single point.

For line to be unique, we must have atleast 2 point.

Let the equation of lines passing through (1,3) is  y= mx +c,

then (1,3) must satisfy y=mx+c.

⇒ 3 = m +c

⇒ 3 - m = c

So general equation of all the lines passing through (1,3) is

y = m(x -1) +3.

For any two examples take value of m to be 1 and 2, this gives

$y = x+2\\\\y = 2x +1$

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