Which equation represents the line that passes through the points (-3,7) and (3,3)

The equation of the line is 2 x +3 y = 15.

Step-by-step explanation:

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

Equation of a line whose points are given such that

) & ( )-

 y -   =     ( x -  )

i.e.  y - 7=  ( x- (-3))

      y - 7 =   ( x + 3 )

      y - 7=  ( x + 3 )

      3 ( y - 7)  =  - 2 ( x + 3)

      3 y -21 = -2 x - 6

      2 x + 3 y = 21 - 6

      2 x + 3 y = 15

Hence the equation of the required line whose passes trough the points ( - 3, 7) & ( 3, 3)  is 2 x + 3 y = 15.

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