find the slope and x,y intercepts of the line 3y+2x=6 and draw it

Here is the graph of the line \(3y + 2x = 6\), showing:

- The **y-intercept** at \((0, 2)\),
- The **x-intercept** at \((3, 0)\),
- The line has a slope of \(-\frac{2}{3}\), which indicates it slopes downward.

Do you have any questions, or would you like more details?

Here are 5 related questions you might explore:
1. What happens to the slope if the coefficient of \(x\) is increased?
2. How do you find the slope between two points on a graph?
3. How do parallel lines compare in terms of slope?
4. What is the general form of a linear equation, and how can it be converted to slope-intercept form?
5. How can we find the equation of a line given its slope and one point?

**Tip**: The slope of a line indicates how steep the line is; a negative slope means the line decreases as you move from left to right.

Discover how to find the slope, x-intercept, and y-intercept of the line 3y + 2x = 6. This solution explains key algebraic concepts such as the slope formula and intercepts, suitable for students in Grades 7-10. Learn how to graph the line and understand its properties.

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