graph x+2y=-6 tell me what points to plot


To graph the equation \( x + 2y = -6 \), you can find points to plot by solving for \( y \) for different values of \( x \).

Let's rearrange the equation to solve for \( y \):
\[
2y = -6 - x
\]
\[
y = \frac{-6 - x}{2}
\]

Now, we can pick some values for \( x \) and solve for \( y \).

1. **When \( x = 0 \):**
   \[
   y = \frac{-6 - 0}{2} = \frac{-6}{2} = -3
   \]
   So one point is \( (0, -3) \).

2. **When \( x = -6 \):**
   \[
   y = \frac{-6 - (-6)}{2} = \frac{-6 + 6}{2} = 0
   \]
   So another point is \( (-6, 0) \).

3. **When \( x = -4 \):**
   \[
   y = \frac{-6 - (-4)}{2} = \frac{-6 + 4}{2} = \frac{-2}{2} = -1
   \]
   So a third point is \( (-4, -1) \).

You can use these points \( (0, -3), (-6, 0), (-4, -1) \) to plot the line. You can choose additional points if you want a more accurate graph.

### Do you need more details or have any questions?

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Here are 5 related questions:
1. What is the slope of the line represented by \( x + 2y = -6 \)?
2. How do you convert the equation \( x + 2y = -6 \) into slope-intercept form?
3. What is the x-intercept of the line \( x + 2y = -6 \)?
4. How would the graph of \( x + 2y = -6 \) change if the equation became \( x + 2y = -4 \)?
5. What are the general steps to graph a linear equation in two variables?

**Tip:** When graphing linear equations, it's often useful to find both the x- and y-intercepts for easy plotting.

graph x+2y=-6 tell me what points to plot

Learn how to graph the linear equation x + 2y = -6 by plotting points. This guide explains how to solve for y, find key points, and plot them on a graph. Suitable for students in Grades 7-10 learning about algebra and linear equations.

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