To determine whether the point [tex]\((6,6)\)[/tex] satisfies the equation [tex]\(y = x\)[/tex], let's evaluate it step-by-step:
1. Identify the coordinates of the point: The point given is [tex]\((6, 6)\)[/tex]. This means [tex]\(x = 6\)[/tex] and [tex]\(y = 6\)[/tex].
2. Substitute the coordinates into the equation: The equation provided is [tex]\(y = x\)[/tex]. Substitute [tex]\(x = 6\)[/tex] and [tex]\(y = 6\)[/tex] into this equation.
[tex]\[
y = x \implies 6 = 6
\][/tex]
3. Check the equality: Upon substituting the values, we have:
[tex]\[
6 = 6
\][/tex]
4. Verify the result: Since the left-hand side (LHS) equals the right-hand side (RHS) of the equation (both are 6), the point [tex]\((6,6)\)[/tex] does indeed satisfy the equation [tex]\(y = x\)[/tex].
Therefore, the statement is true:
Yes, the point [tex]\((6,6)\)[/tex] satisfies the equation [tex]\(y = x\)[/tex].
