To convert the equation $2x - 3y = 18$ into slope-intercept form ($y = mx + b$), follow these steps:

1. Start with the given equation: $2x - 3y = 18$

2. Subtract $2x$ from both sides to isolate the $-3y$-term: $-3y = -2x + 18$

3. Divide every term by $-3$ to solve for $y$: $y = \frac{-2x}{-3} + \frac{18}{-3}$

4. Simplify the fractions: $y = \frac{2}{3}x - 6$

The equation in slope-intercept form is: $y = \frac{2}{3}x - 6$

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Key Points:

• The slope ($m$) is $\frac{2}{3}$.
• The y-intercept ($b$) is $-6$.

Would you like me to graph this or provide more examples? 😊

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5 Related Questions:

1. How do you find the slope from two points on a line?
2. What does the slope of a line represent in real-world contexts?
3. How can you determine if two lines are parallel or perpendicular using their slopes?
4. How do you rewrite equations in point-slope form?
5. What are the steps for graphing a linear equation?

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Tip:

When converting to slope-intercept form, always ensure the $y$-term is isolated and its coefficient is 1!