4x+2y=0 find the slope m and the y-intercept b

To find the slope \( m \) and the y-intercept \( b \) from the equation \( 4x + 2y = 0 \), follow these steps:

1. **Rewrite the equation in slope-intercept form** (\( y = mx + b \)):
   \[
   4x + 2y = 0
   \]
   Subtract \( 4x \) from both sides:
   \[
   2y = -4x
   \]
   Divide both sides by 2:
   \[
   y = -2x
   \]

2. **Identify the slope \( m \) and the y-intercept \( b \)**:
   - The equation is now in the form \( y = mx + b \), where \( m = -2 \) and \( b = 0 \).

   So, the **slope** \( m \) is \(-2\), and the **y-intercept** \( b \) is \( 0 \).

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How do you find the x-intercept of the equation \( 4x + 2y = 0 \)?
2. What is the slope of a line parallel to \( y = -2x \)?
3. How would the equation change if the y-intercept were \( b = 3 \)?
4. What is the slope of a line perpendicular to \( y = -2x \)?
5. How do you convert a slope-intercept equation back to standard form?

**Tip:** The slope of a line gives you the steepness and direction, while the y-intercept shows where the line crosses the y-axis.

Learn how to find the slope \( m \) and the y-intercept \( b \) from the linear equation 4x + 2y = 0. This problem covers basic concepts of linear equations, including slope and y-intercept determination. Suitable for students in Grades 7-9.

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