Write the equation of the line that passes through the points (−6,1) and (−2,4).

The equation of the line is 3 x - 4 y + 22 = 0.

Step-by-step explanation:

Here the given points are (-6, 1) & (-2, 4)

Equation of a line whose points are given such that

( ) & ( )-

 y - =   ( x - )

i.e.  y - 1 =    ( x- (-6))

     y - 1 =  ( x + 6 )

     y - 1 =  ( x + 6 )

     4 ( y - 1 ) = 3 ( x + 6)

     4 y - 4 = 3 x + 18

     3 x - 4 y + 22 = 0

Hence the equation of the required line whose passes trough the points ( -6, 1) & ( -2, 4)  is 3 x - 4 y + 22 = 0.

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