Question

Which value of m will create a system of parallel lines with no solution? y = mx – 6 8x – 4y = 12

Answer 1

Let the equation with m gradient be 1 and the other one be 2

Parallel lines have equal gradient.

Now lets write equation 2 in the form :

y = m₁x + c

Where m = gradient

We do this as follows :

8x - 4y = 12

-4y = - 8x + 12

Dividing through by - 4 we get :

y = 2x - 3

In this case :

m₁ = 2

This is equal to m.

So the value of m = 2

Answer 2

Answer:

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Step-by-step explanation:

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