Which equation is equivalent to 4x − 3y = 15 when solved for y?

To solve the equation \( 4x - 3y = 15 \) for \( y \), follow these steps:

1. Start with the given equation:
   \[
   4x - 3y = 15
   \]
   
2. Subtract \( 4x \) from both sides:
   \[
   -3y = 15 - 4x
   \]
   
3. Divide both sides by \( -3 \) to isolate \( y \):
   \[
   y = \frac{15 - 4x}{-3}
   \]
   
4. Simplify the right-hand side:
   \[
   y = -5 + \frac{4}{3}x
   \]
   
Thus, the equivalent equation when solved for \( y \) is:
\[
y = \frac{4}{3}x - 5
\]

Would you like a detailed explanation of any step?

Here are 5 related questions:
1. How do you solve an equation with fractions involved?
2. What is the slope-intercept form of a linear equation?
3. Can you solve the equation for \( x \) instead of \( y \)?
4. What is the graph of the equation \( y = \frac{4}{3}x - 5 \)?
5. How do you find the slope of a line from an equation?

**Tip:** Always check your result by plugging it back into the original equation to verify correctness.

Learn how to solve the linear equation 4x - 3y = 15 for y, and convert it to slope-intercept form. This step-by-step guide breaks down algebraic concepts like isolating variables and simplifying equations. Suitable for students in Grades 8-10.

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