Write each of the following ad van equation in two variables y=3/2x

The equation \( y = \frac{3}{2}x \) can be written in the following forms in two variables:

1. **Standard Form:**  
   \( 3x - 2y = 0 \)

2. **Point-Slope Form:**  
   \( y - y_1 = \frac{3}{2}(x - x_1) \)  
   (Where \( (x_1, y_1) \) is a point on the line. For example, if \( x_1 = 0 \) and \( y_1 = 0 \), the equation becomes \( y - 0 = \frac{3}{2}(x - 0) \) or simply \( y = \frac{3}{2}x \).)

3. **Intercept Form:**  
   \( \frac{x}{\frac{2}{3}} + \frac{y}{1} = 1 \)

4. **Slope-Intercept Form:**  
   \( y = \frac{3}{2}x + 0 \)

5. **General Form:**  
   \( 3x - 2y = 0 \)

Would you like further details or have any questions about these forms?

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Here are 5 related questions:

1. How do you convert a linear equation to standard form?
2. What does the slope of the equation \( y = \frac{3}{2}x \) represent?
3. How can you graph the equation \( y = \frac{3}{2}x \) on a coordinate plane?
4. How do you find the x-intercept and y-intercept of a linear equation?
5. What are some real-life examples of linear relationships?

**Tip:** Always check the slope value when identifying the steepness of a line in a graph. The larger the slope, the steeper the line.

Explore the various forms of linear equations, including standard form, point-slope form, intercept form, slope-intercept form, and general form. Learn how to convert equations and understand their applications. Suitable for Grades 7-9 students.

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