Determine the slope and the y-intercept from the table of values:

x	y
-2	10
0	6
1	4
3	0
5	-4

slope = 


y-intercept = 



To determine the slope and the y-intercept from the table of values, we'll first find the slope \( m \), using the formula for the slope between two points:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Let’s use the points \( (0, 6) \) and \( (1, 4) \):

\[
m = \frac{4 - 6}{1 - 0} = \frac{-2}{1} = -2
\]

So, the slope \( m = -2 \).

Now, to find the y-intercept, we can use the slope-intercept form of a line \( y = mx + b \). Since we know the slope \( m = -2 \), we can substitute one of the points from the table (for example, \( (0, 6) \)) into the equation to find the y-intercept \( b \).

At \( x = 0 \), \( y = 6 \):

\[
y = mx + b \implies 6 = -2(0) + b \implies b = 6
\]

Thus, the y-intercept is \( b = 6 \).

### Final Answer:
- **Slope** = \( -2 \)
- **Y-intercept** = \( 6 \)

Would you like further details or have any questions?

Here are some related questions to explore:
1. How do you calculate the slope if given other pairs of points?
2. What is the equation of the line based on this slope and y-intercept?
3. How does the slope affect the steepness of the line?
4. What happens to the y-intercept if the entire line shifts up or down?
5. How can you use this information to graph the line?

**Tip:** The y-intercept is always the value of \( y \) when \( x = 0 \).

Determine the slope and the y-intercept from the table of values:

x	y
-2	10
0	6
1	4
3	0
5	-4

slope = 

y-intercept = 

Learn how to determine the slope and y-intercept from a table of values with step-by-step instructions. This problem involves key algebraic concepts like the slope formula and slope-intercept form. Suitable for students in Grades 7-9.

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