Here's a problem for you to solve. Take your time and let me know if you have any questions:

Problem: Linear Algebra Table Analysis

Given the following table of points:

$x$	$y$
1	3
2	7
3	11
4	15

1. Find the equation of the line that passes through these points.
2. Use the equation to predict the value of $y$ when $x = 6$.
3. Verify that the slope of the line is consistent across all points.
4. Determine the $y$-intercept of the line.
5. Plot the points on a coordinate grid to verify your results visually.

Tip: Use the slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Would you like me to check your work when you're done or assist you further?