a. Rewrite 6 x plus y equals 0 in​ slope-intercept form.
b. Give the slope and​ y-intercept.
c. Graph the equation.
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Part 1
a. Type the​ slope-intercept form of the equation.
  
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### a. Slope-Intercept Form:

The slope-intercept form of an equation is given by:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.

To rewrite \( 6x + y = 0 \) in slope-intercept form, solve for \( y \):

\[
y = -6x
\]

So, the slope-intercept form is:
\[
y = -6x
\]

### b. Slope and Y-Intercept:

- The slope (\( m \)) is \( -6 \).
- The y-intercept (\( b \)) is \( 0 \) (since there is no constant term).

### c. Graph the Equation:

To graph \( y = -6x \):
- The slope is \( -6 \), meaning for every 1 unit increase in \( x \), \( y \) decreases by 6 units.
- The y-intercept is at \( (0, 0) \).

Would you like a detailed explanation of the graph, or should I generate one for you?

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Here are 5 related questions to deepen understanding:
1. How do you find the slope of a line given two points?
2. What does a negative slope tell you about the direction of the line?
3. How do you determine the x-intercept of a linear equation?
4. Can you find the equation of a line parallel to \( y = -6x \)?
5. How does changing the y-intercept affect the graph of a line?

**Tip:** The slope tells you how steep the line is—larger absolute values of the slope mean a steeper line.

Rewrite 6x + y = 0 in slope-intercept form. Give the slope and y-intercept. Graph the equation.

Learn how to rewrite the linear equation 6x + y = 0 in slope-intercept form, identify the slope and y-intercept, and graph the equation. This solution explores key algebraic concepts and is ideal for students in Grades 7-9.

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