To convert the equation $2x + 3y = 5$ from standard form (Ax + By = C) into slope-intercept form (y = mx + b), we need to solve for $y$.

Steps to Convert:

1. Start with the given equation: $2x + 3y = 5$

2. Isolate the $y$-term on one side: $3y = -2x + 5$ Subtract $2x$ from both sides.

3. Solve for $y$ by dividing every term by 3: $y = -\frac{2}{3}x + \frac{5}{3}$

Slope-Intercept Form:

The slope-intercept form of the equation is: $y = -\frac{2}{3}x + \frac{5}{3}$

In this form, the slope ($m$) is $-\frac{2}{3}$ and the y-intercept ($b$) is $\frac{5}{3}$.

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Would you like more details on this, or do you have any other questions?

Here are 5 related questions that you might find interesting:

1. How do you convert an equation from slope-intercept form to standard form?
2. What is the slope of the line perpendicular to $y = -\frac{2}{3}x + \frac{5}{3}$?
3. How do you find the x-intercept of the line $2x + 3y = 5$?
4. What is the meaning of the slope and y-intercept in the context of a real-world problem?
5. How do you graph a line given its equation in slope-intercept form?

Tip: When converting equations, carefully isolate the variable of interest by performing inverse operations systematically.