To create a table for the equation $y = ax + b$, where $a = -21.6285714286$ and $b = 858.904761905$, we will generate a few values of $x$ and compute the corresponding values of $y$.

Let's choose a range of $x$ values and calculate the corresponding $y$ values:

$x$	$y = ax + b$	$y$ Value
-10	$-21.6285714286(-10) + 858.904761905$	$1075.190476191$
-5	$-21.6285714286(-5) + 858.904761905$	$966.047619048$
0	$-21.6285714286(0) + 858.904761905$	$858.904761905$
5	$-21.6285714286(5) + 858.904761905$	$751.761904762$
10	$-21.6285714286(10) + 858.904761905$	$644.619047619$

Summary of the Table

• When $x = -10$, $y = 1075.190476191$
• When $x = -5$, $y = 966.047619048$
• When $x = 0$, $y = 858.904761905$
• When $x = 5$, $y = 751.761904762$
• When $x = 10$, $y = 644.619047619$

Would you like to explore more details or have any questions?

Further Related Questions:

1. How does the slope $a$ affect the steepness of the line?
2. What happens to the line when $b$ changes?
3. How would the equation change if $a$ were positive?
4. Can you find the $x$-intercept from this equation?
5. How does this linear function compare to a quadratic function?

Tip:

When interpreting a linear equation, remember that $a$ (the coefficient of $x$) represents the slope, which indicates how steep the line is, and $b$ represents the y-intercept, where the line crosses the y-axis.