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A line passes through the point (–3,6) and is parallel to the line with the equation y = –4x + 5. What's the equation of the line? Question 3 options: A) y = 1∕4x – 3 B) y = –4x + 6 C) y = –4x – 6 D) y = 4x + 18

Respuesta :

Answer:

C) y =-4x-6

The equation of the line y = -4x-6

Step-by-step explanation:

Step(i):-

Given point (-3,6)

Given line is y = -4x +5

The equation of the parallel line a x+ b y + k=0

Given straight line is y = -4x+5

                    4x + y -5=0

Step(ii):-

The equation of the parallel line 4x+  y + k=0 is passes through the point (-3,6)

    4x+  y + k=0

   4(-3) +6 +k=0

     -12 +6 +k = 0

             k = 6

Final answer:-

The equation of the parallel line 4x+  y + 6 =0

The equation of the parallel line     y = - 4x -6                                                

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