To determine whether the point [tex]\((-1, -1)\)[/tex] satisfies the equation [tex]\(y = x\)[/tex], we will substitute the coordinates of the point into the equation and check if the equation holds true.
The point given is [tex]\((-1, -1)\)[/tex], which means that [tex]\(x = -1\)[/tex] and [tex]\(y = -1\)[/tex].
Now, substitute [tex]\(x = -1\)[/tex] and [tex]\(y = -1\)[/tex] into the equation [tex]\(y = x\)[/tex]:
[tex]\[ y = -1 \][/tex]
[tex]\[ x = -1 \][/tex]
Substituting these values into the equation [tex]\(y = x\)[/tex] gives us:
[tex]\[ -1 = -1 \][/tex]
This statement is true because [tex]\(-1\)[/tex] is indeed equal to [tex]\(-1\)[/tex].
Therefore, the point [tex]\((-1, -1)\)[/tex] does make the equation [tex]\(y = x\)[/tex] true.
So, the answer is:
Yes
