Question

Find the equations of any two lines passing through the point(-1,2). How many such lines are there?

Answer 1

Answer:

x + y = 1 and y = x +3 are the equations two lines which is passing through (-1 , 2)

Infinite no of lines can pass through the given point..

Step-by-step explanation:

From the equation, (y-y1) = m(x-x2)

Since, y1 = 2 and x1 = -1, we can write the equation as

( y -2) = m( x +1)

where m is the slope of the line

y = mx + m +2

We can give any value to m

Putting m = 1 then equation of line is

y = x +3

Putting m = -1 then equation of line ,

x + y = 1

Therefore, x + y = 1 and y = x +3 are the equations two lines which is passing through (-1 , 2)

Similarly infinite no of lines can pass through the given point..