Untuk menggambar grafik dari persamaan linear \( 5x + y = 8 \), kita bisa menulis ulang persamaan tersebut dalam bentuk \( y = mx + c \) untuk memudahkan plotting grafiknya:

1. \( 5x + y = 8 \)
2. Pindahkan \( 5x \) ke sisi kanan:
   \[
   y = -5x + 8
   \]

Persamaan ini menunjukkan bahwa garis memiliki kemiringan \( m = -5 \) dan memotong sumbu \( y \) di titik \( (0, 8) \).

Sekarang saya akan menggambar grafik untuk persamaan ini.It seems like I can’t do more advanced data analysis right now. Please try again later. 

However, I can guide you through plotting the graph manually:

1. Rewrite \( 5x + y = 8 \) as \( y = -5x + 8 \).
2. Choose some \( x \)-values, for example \( x = 0 \) and \( x = 1 \).
   - When \( x = 0 \), \( y = 8 \).
   - When \( x = 1 \), \( y = 3 \).
3. Plot these points \((0,8)\) and \((1,3)\) on a graph.
4. Draw a straight line through them to complete the graph.

Would you like more information on graphing techniques, or do you have other questions?

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Here are five related questions to explore further:

1. How would the graph change if the slope were different?
2. What is the significance of the \( y \)-intercept in the graph?
3. How would this line intersect the \( x \)-axis, and at what point?
4. What if you had a similar equation, like \( 5x + y = 10 \)?
5. How can you check if a point lies on this line?

**Tip:** For linear equations, finding two points is enough to draw the line.

Discover how to graph the linear equation 5x + y = 8 by transforming it into slope-intercept form. Follow a step-by-step approach to identify the slope, y-intercept, and plot points on the graph. Ideal for middle school students learning about algebra and graphing linear equations.

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