To solve this problem, we need to determine the y-intercept and slope of the linear function from the table of values.

Step 1: Calculate the Slope

The slope $m$ of a linear function can be calculated using two points $(x_1, y_1)$ and $(x_2, y_2)$ from the table, using the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ We'll pick any two points from the table. Let's use $(-2, -14)$ and $(0, -8)$.

$m = \frac{-8 - (-14)}{0 - (-2)} = \frac{-8 + 14}{0 + 2} = \frac{6}{2} = 3$ Thus, the slope $m$ is 3.

Step 2: Find the y-intercept

The y-intercept is the value of $y$ when $x = 0$. From the table, we see that when $x = 0$, $y = -8$. Therefore, the y-intercept is $-8$.

Final Answer:

• y-intercept: $-8$
• slope: $3$

Do you want more details or have any questions? Here are five related questions to deepen your understanding:

1. How would the equation of the line look using the slope and y-intercept?
2. What does the slope represent in terms of the linear function?
3. How can you find the slope if you only have one point and the equation of the line?
4. What happens to the graph of the function if the slope is negative?
5. How can you determine if a table of values represents a linear function?

Tip: Always double-check the table values by plugging them into the slope formula to ensure accuracy when calculating the slope.