Answer: [tex]-x - y = 0[/tex]
Step-by-step explanation:
The equation of line passing through two points (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Then , the equation of line passing through two points (1, 1) and (5, 5) is given by :-
[tex](y-1)=\dfrac{5-1}{5-1}(x-1)\\\\\Rightarrow\ y-1=x-1\\\\\Rightarrow\ y=x[/tex]
It can be written as [tex]y - x = 0\ or\ x-y=0[/tex]
Hence, the [tex]-x - y = 0[/tex] is not an equation of the line that passes through the points (1, 1) and (5, 5).
