Question

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

Answer 1

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.