To check if the point $(1, 10)$ makes the inequality $y > 6x + 1$ true, we substitute $x = 1$ and $y = 10$ into the inequality and see if it holds.

The inequality is:

$y > 6x + 1$

Substitute $x = 1$ into the equation:

$y > 6(1) + 1$ $y > 6 + 1$ $y > 7$

Now, substitute $y = 10$:

$10 > 7$

Since $10$ is indeed greater than $7$, the inequality is true. Therefore, the point $(1, 10)$ satisfies the inequality $y > 6x + 1$.

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How can we graph the inequality $y > 6x + 1$?
2. What is the slope and y-intercept of the equation $y = 6x + 1$?
3. How can you check if other points satisfy the inequality $y > 6x + 1$?
4. How do you solve a system of inequalities involving two variables?
5. What is the difference between strict inequalities (>) and non-strict inequalities (≥)?

Tip: When testing points in an inequality, substitute values carefully and always check if the condition holds after simplifying.