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The equation \(3x + 5y - 9 = 0\) can be rewritten in slope-intercept form as:

\[
y = \frac{-3}{5}x + \frac{9}{5}
\]

This gives:
- **Slope (m)**: \( \frac{-3}{5} \)
- **Y-intercept (b)**: \( \frac{9}{5} = 1.8 \)

The graph above shows the line based on this equation, with the y-intercept clearly marked at \( (0, 1.8) \).

Would you like further explanation, or do you have any questions? 

Here are 5 related questions to expand your understanding:
1. How do you find the x-intercept of the line from the equation \(3x + 5y - 9 = 0\)?
2. What happens to the slope if the coefficients of x and y are swapped?
3. How do you convert a line equation from general form to slope-intercept form?
4. What is the significance of a line’s slope in terms of its steepness?
5. Can a vertical line have a y-intercept? Why or why not?

**Tip:** The slope indicates how steep the line is—positive slope means the line goes upward from left to right, while a negative slope means it goes downward.

Find the slope and y-intercept of the straight line determined by the equation 3x + 5y - 9 = 0, and sketch the graph.

Learn how to find the slope and y-intercept of the equation 3x + 5y - 9 = 0. This step-by-step guide includes the conversion to slope-intercept form and graphing techniques. Suitable for students in Grades 9-12.

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