Evaluate y = x² When x Equals 7: Point Existence Problem

The task is to find the value of $y$ when $x = 7$ for the function given by $y = x^2$.

To solve this problem, we will perform the following steps:

• Step 1: Substitute $x = 7$ into the function, resulting in the expression $y = 7^2$.
• Step 2: Calculate the square of 7, which is $7 \times 7 = 49$.
• Step 3: Hence, the value of $y$ is 49 when $x = 7$.

The calculation shows that the point exists on the parabola described by $y = x^2$ and is represented by the ordered pair $(7, 49)$.

Therefore, the solution to the problem, supported by calculations, is $y = 49$.