Question

Which system of equations is represented by the graph?

Answer 1

Answer:

               $y=x\\\\y=\dfrac{-x+10}{x-4}$

Step-by-step explanation:

Red line is increasing and for any x goes the same y, so it's y = x

The blue graph is  $y=\dfrac a{x-h}+k$, where h=4 and k =-1 and for x=5 also y=5

It gives:

               $5=\dfrac a{5-4}+(-1)\\5=a-1\\a=6$

So:

      $y=\dfrac6{x-4}-1 =\dfrac6{x-4}-\dfrac{x-4}{x-4} =\dfrac{6-x+4}{x-4}=\dfrac{-x+10}{x-4}$