Asap] what is the equation of the line that passes through the points (−3, 2) and (−5, 8)? a: 3x − y = −11 b: 3x + y = − 7 c: 3x + y = 5 d: x + 3y = 3

B:  3x + y = − 7

Step-by-step explanation:

As we move from (-5, 8) to (-3, 2), x increases by 2 and y decreases by 6.  Thus, the slope of the line thru these two points is m = rise / run = -6/2 = -3.

Applying the point-slope form of the equation of a straight line,

y-k = m(x-h), we obtain y - 2 = -3(x + 3).

Alternatively,                 y       = -3x - 9 + 2, or    

                                      y       = -3x - 7

and this can be rewritten in the form 3x + y = -7 (Answer B)

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