Question

Find the equation of the line that passes through point A (1,7) and B (-3, -1)

Answer 1

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( $x_{1}, y_{1}$ ) & ( $x_{2}, y_{2}$ )-

 y - $y_{1}$  = $\frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$   ( x - $x_{1}$  )

i.e.  y - 7= $\frac{- 1 - 7}{ -3-1}$  ( x- 1)

      y - 7 =  $\frac{- 8}{- 4}$ ( x -1)

      y - 7 =  2 ( x - 1)

      y - 7  =   2  x - 2

      2 x - y + 5 = 0

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1)  is 2 x - y  + 5 = 0.