Write the equation in slope-intercept form.

3x + 5y = -2

Group of answer choices

3x + 5y = -2

5y = -3x -2

-3x - 5y = 2

y = -3/5x - 2/5

To write the equation \( 3x + 5y = -2 \) in slope-intercept form (\( y = mx + b \)), follow these steps:

1. Start with the given equation:
   \[
   3x + 5y = -2
   \]

2. Subtract \( 3x \) from both sides:
   \[
   5y = -3x - 2
   \]

3. Divide every term by 5 to solve for \( y \):
   \[
   y = \frac{-3}{5}x - \frac{2}{5}
   \]

Thus, the equation in slope-intercept form is:
\[
y = \frac{-3}{5}x - \frac{2}{5}
\]

So, the correct answer is:
**\( y = \frac{-3}{5}x - \frac{2}{5} \)**

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Would you like any additional explanation on this? Here are some related questions for further practice:

1. Convert \( 2x - 4y = 8 \) to slope-intercept form.
2. What is the slope of the equation \( 5x - 2y = 10 \)?
3. Write the equation \( 4x + y = 7 \) in slope-intercept form.
4. Determine the slope and y-intercept of \( y = 3x + 4 \).
5. Convert \( 7x + 6y = -12 \) into slope-intercept form.

**Tip:** The slope-intercept form of an equation is useful for quickly identifying the slope and y-intercept of a line!

Write the equation in slope-intercept form.

3x + 5y = -2

Group of answer choices:

3x + 5y = -2
5y = -3x -2
-3x - 5y = 2
y = -3/5x - 2/5

Learn how to convert the linear equation 3x + 5y = -2 into slope-intercept form with a step-by-step solution. This problem covers key algebraic concepts, including rearranging equations and identifying the slope and y-intercept. Suitable for students in Grades 8-10.

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