To determine whether the point [tex]\((1, 2)\)[/tex] satisfies the equation [tex]\(y = 4x\)[/tex], we follow these steps:
1. Identify the given point: The point provided is [tex]\((1, 2)\)[/tex], which means [tex]\(x = 1\)[/tex] and [tex]\(y = 2\)[/tex].
2. Substitute [tex]\(x\)[/tex] into the equation: The equation given is [tex]\(y = 4x\)[/tex]. We substitute [tex]\(x = 1\)[/tex] into this equation to find the corresponding value of [tex]\(y\)[/tex]:
[tex]\[
y = 4 \cdot 1 = 4
\][/tex]
3. Compare the calculated [tex]\(y\)[/tex] with the given [tex]\(y\)[/tex]: The calculated value of [tex]\(y\)[/tex] is 4. The given value of [tex]\(y\)[/tex] is 2.
Since 2 does not equal 4, the point [tex]\((1, 2)\)[/tex] does not satisfy the equation [tex]\(y = 4x\)[/tex].
Therefore, the answer is:
No
