Question

Write an equation of the line that passes through the given points.
(2,3), (0, -1)

Answer 1

The equation of the line is 2 x - y = 1.

Explanation:

Here the given points are ( 2, 3) & ( 0, -1 )

Equation of a line whose points are given such that

(
`x_(1), y_(1)` ) & (
`x_(2), y_(2)` )

y -
`y_(1)` =
`( y_(2) - y_(1) )/(x_(2) - x_(1) )` ( x -
`x_(1)` )

i.e. y - 3 =
`(-1 - 3)/( 0- 2)` ( x- 2)

y - 3 =
`(- 4)/(- 2)` ( x - 2 )

y - 3 = 2 ( x - 2 )

y - 3 = 2 x - 4

2 x - y = 4- 3

2 x - y = 1

Hence the equation of the required line whose passes trough the points ( 2, 3) & ( 0, - 1) is 2 x - y = 1.