Question

Which system of equations is represented by the graph?

Answer 1

`y=x\\\\y=(-x+10)/(x-4)`

Explanation:

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

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

It gives:

`5=\frac a{5-4}+(-1)\\5=a-1\\a=6`

So:

`y=\frac6{x-4}-1 =\frac6{x-4}-(x-4)/(x-4) =(6-x+4)/(x-4)=(-x+10)/(x-4)`