Question

Give the equation of two lines passing through 2 4 how many more such lines are there and and why

Answer 1

Step-by-step explanation:

We know that equation of a line passing through a given point( x1, y1) having slope m is given by

$y - y1 = m(x - x1)$

In our case (x1, y1)=(2,4)

So, equation of line will be

$\: \: y - 4 = m(x - 2)$

$= > \: y = mx + 4 - 2m$

Therefore, for different values of m we will get different equation of line.

Now, In order to get two lines passing through (2,4),

put m=0 and m=1

$m = 0 = > y = 4$

and

$m = 1 = > y = x + 2.$