given the equation -4x -8y =44 what is the slope

To find the slope of the equation \(-4x - 8y = 44\), you should first rewrite the equation in the slope-intercept form, which is \(y = mx + b\), where \(m\) represents the slope.

### Step 1: Solve for \(y\)
Start by isolating \(y\) in the equation.

\[
-8y = 4x + 44
\]

### Step 2: Divide by \(-8\) to isolate \(y\)

\[
y = -\frac{4}{8}x - \frac{44}{8}
\]

Simplify the fractions:

\[
y = -\frac{1}{2}x - \frac{11}{2}
\]

### Step 3: Identify the Slope
The equation is now in the form \(y = mx + b\), where \(m\) is the slope. 

\[
m = -\frac{1}{2}
\]

So, the slope of the equation \(-4x - 8y = 44\) is \(-\frac{1}{2}\).

Would you like more details or have any questions?

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Here are some related questions:

1. How do you find the y-intercept of the equation \(-4x - 8y = 44\)?
2. What is the x-intercept of the equation?
3. How would you graph the equation after finding the slope and intercepts?
4. How does changing the slope affect the steepness of the line?
5. How would the slope change if the equation was \(4x + 8y = 44\)?

**Tip:** When converting an equation to slope-intercept form, be careful with signs, especially when dividing by negative numbers.

Learn how to find the slope of the linear equation -4x - 8y = 44 using the slope-intercept form. Follow a step-by-step solution to isolate y, identify the slope, and understand the impact of changing the equation's coefficients. Suitable for Grades 7-9.

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