Question

Write the equation of the line
that passes through (2,-1) and (4,5)

Answer 1

The equation of the line passing through the points (2,-1) and (4,5) is 3x-y = 5

Explanation:

Given:

Points are (2,-1) and (4,5)

To find the equation of the passing through the given points.

Formula

The equation of the line passing through (
`x_(1) ,y_(1)`) and (
`x_(2) ,y_(2)`) is
`$(y -y_(1) )/(y_(2)-y_(1) ) = (x -x_(1) )/(x_(2) -x_(1) )`

Now, putting,

`x_(1) =2,y_(1)-1= ,x_(2)=4 ,y_(2) =5` we get,

`(y+1)/(5+1) = (x-2)/(4-2)`

or,
`(y+1)/(6) = (x-2)/(2)`

or, 2(y+1) = 6(x- 2)

or, y+1 = 3(x-2)

or, 3x-y=5