 grafica X 	Y= 4(x)+8 
-3 	Y=4(-3)+8=-4 
-2 	Y=4(-2)+8=0
-1 	Y=4(-1)+8= 4
0 	Y=4(0)+8= 8
1 	Y=4(1)+8= 12
2 	Y=4(2)+8=16
3 	Y=4(3)+8=20 


To create the graph of the function \( Y = 4x + 8 \), you can use the points you’ve calculated. Here are the points you have:

- For \( x = -3 \), \( Y = -4 \)
- For \( x = -2 \), \( Y = 0 \)
- For \( x = -1 \), \( Y = 4 \)
- For \( x = 0 \), \( Y = 8 \)
- For \( x = 1 \), \( Y = 12 \)
- For \( x = 2 \), \( Y = 16 \)
- For \( x = 3 \), \( Y = 20 \)

Now, you can plot these points on a coordinate plane. The line formed by connecting these points will represent the linear function \( Y = 4x + 8 \).

If you'd like, I can provide a detailed plot of this graph.

Would you like to see the graph? Additionally, do you want to explore how the slope and intercept influence the line?

### Related Questions:
1. What is the slope of the line \( Y = 4x + 8 \) and what does it represent?
2. How does the graph of \( Y = 4x + 8 \) compare to \( Y = 4x \)?
3. What would happen to the graph if the slope was negative, like \( Y = -4x + 8 \)?
4. How would the graph change if the equation was \( Y = 4x - 8 \)?
5. What are the x-intercept and y-intercept of the graph of \( Y = 4x + 8 \)?

### Tip:
To quickly sketch a linear function, identify the y-intercept (where the line crosses the y-axis) and use the slope to find another point.

Explore how to graph the linear function Y = 4x + 8 using plotted points and understand its slope-intercept form. This detailed guide includes key points such as (x, Y) pairs and explanations of slope and intercept. Suitable for Grades 7-9.

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