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A student claimed that the two equations

y-8

------ =2

x-1

and y=2x+6 have identical lines as their graphs.Do you agree? Explain

Verified Answer :

nobrains

Solve the first equation for y to compare it to the second equation because the second equation is in terms of y. \(\frac{y-8}{x-1} =2 \\ y-8=2(x-1) \\ y-8=2x-2 \\ y=2x+6\)
Since the first equation simplifies and is the same as the second equation, they are identical equations and their lines when graphed will also be identical.

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