Respuesta :

Step-by-step explanation:

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Answer:

Step-by-step explanation:

a) Parallel lines have same slope. Compare the slopes of the two lines and we can find m

Write in y =mx + c form

D1 :  -4x + y + 2 = 0

                     y  = 4x  -2

So, m = 4

D2:  (1 + m)x + my - 5 = 0

                        my      = -(1 + m)x + 5

                               y =  [tex]\frac{-(1 + m)}{m}x+\frac{5}{m}[/tex]

slope = (-1 +m)/m

[tex]\frac{-(1+m)}{m}=4\\\\[/tex]

Cross multiply,

-1  - m  = 4m          {Add 'm' to both sides }

-1  = 4m + m

-1 = 5m

5m = -1    {Divide both sides by 5}

 m = -1/5