To write the equation $3Y + 9X = 0$ in slope-intercept form (which is $Y = MX + B$), follow these steps:

Step 1: Solve for $Y$

Starting with the given equation: $3Y + 9X = 0$ First, isolate $Y$ by subtracting $9X$ from both sides: $3Y = -9X$

Step 2: Divide by 3

Now, divide both sides by 3 to solve for $Y$: $Y = -3X$

Result:

The equation in slope-intercept form is: $Y = -3X$ This means:

• The slope $M = -3$
• The y-intercept $B = 0$

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Would you like more details or have any further questions? Here are 5 related questions to explore:

1. How would you graph the equation $Y = -3X$?
2. How does the slope $M = -3$ affect the line's steepness?
3. How do you interpret the y-intercept in this equation?
4. What is the standard form of the equation $Y = -3X$?
5. How can you find the slope and y-intercept from other equations?

Tip: The slope-intercept form is very useful for graphing linear equations because it gives you the slope and the y-intercept directly!