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The task is to graph the linear equation \( y = 3x - 5 \) and fill in the table of values for \( x \) and \( y \).

### Step-by-Step Solution:

1. **Select values of \( x \)**:
   To graph the equation, let's select a few values for \( x \), calculate the corresponding \( y \)-values using the equation, and then plot these points on the graph.

   Let's choose \( x = -2, 0, 2 \).

2. **Calculate \( y \)-values**:
   Using the equation \( y = 3x - 5 \):
   - When \( x = -2 \), \( y = 3(-2) - 5 = -6 - 5 = -11 \)
   - When \( x = 0 \), \( y = 3(0) - 5 = -5 \)
   - When \( x = 2 \), \( y = 3(2) - 5 = 6 - 5 = 1 \)

3. **Table of values**:
   | \( x \) | \( y \) |
   |:------:|:------:|
   |  -2    |  -11   |
   |   0    |   -5   |
   |   2    |    1   |

4. **Plot the points**:
   Now, plot the points \((-2, -11)\), \((0, -5)\), and \((2, 1)\) on the graph. After plotting, draw a straight line through these points to represent the equation \( y = 3x - 5 \).

Would you like more details on how to draw the graph, or do you have any questions?

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Here are 5 related questions to expand your understanding:

1. What is the slope of the line in the equation \( y = 3x - 5 \)?
2. How would the graph change if the equation were \( y = 3x + 5 \) instead?
3. What is the y-intercept of the line \( y = 3x - 5 \), and how do you find it?
4. Can you explain how the slope influences the steepness of the line?
5. How would you graph \( y = -3x + 5 \) on the same set of axes?

**Tip**: When graphing linear equations, picking \( x \)-values near the y-intercept often gives clearer and more accurate plots!

Gambar grafik dari persamaan garis lurus berikut: y = 3x - 5

Learn how to graph the linear equation y = 3x - 5 by calculating values of y for selected x values and plotting points. This problem covers key algebraic concepts like linear equations and the slope-intercept form. Suitable for Grades 7-9.

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