tplumlee06 tplumlee06
  • 13-12-2020
  • Mathematics
contestada

Which value of m will create a system of parallel lines with no solution?

y=mx-6

8x-4y=12

Respuesta :

louislen louislen
  • 13-12-2020

Answer:

m = 2

Step-by-step explanation:

Rearrange the second equation into slope-intercept form (so that it is formatted the same as the first equation)

8x - 4y = 12

8x - 8x - 4y = -8x + 12

-4y = -8x + 12

-4y/-4 = (-8x + 12)/-4

y = 2x - 3

The slope for this equation is 2.

Equations with the same slope  are parallel and therefore have no solution since they can never intersect.  Hence, the required value of m is 2.

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