Given the equation -21x - 7y = 49, convert the function into slope intercept form. 
Group of answer choices

y = 3x + 7

y = -3x + 14

y = -3x - 12

y = -3x - 7

To convert the equation \(-21x - 7y = 49\) into slope-intercept form (\(y = mx + b\)), follow these steps:

### Step 1: Move the \(x\)-term to the other side.
\[
-7y = 21x + 49
\]
### Step 2: Divide every term by \(-7\) to isolate \(y\).
\[
y = \frac{21x}{-7} + \frac{49}{-7}
\]
\[
y = -3x - 7
\]

### Final Answer:
The equation in slope-intercept form is:
\[
y = -3x - 7
\]
Thus, the correct choice is:
\[
\boxed{y = -3x - 7}
\]

Would you like more details on any step?

### Related Questions:
1. How do you identify the slope from an equation?
2. How would the graph of this function look?
3. Can you explain the significance of the y-intercept?
4. What happens to the graph if you change the slope?
5. How would you graph this line using the slope-intercept form?

**Tip:** Always simplify the equation step by step to avoid mistakes when isolating variables.

Given the equation -21x - 7y = 49, convert the function into slope intercept form. Group of answer choices: y = 3x + 7, y = -3x + 14, y = -3x - 12, y = -3x - 7

Learn how to convert the linear equation -21x - 7y = 49 into slope-intercept form with this step-by-step guide. Understand the algebraic concepts and methods used to isolate y and identify the slope and y-intercept. Ideal for students in Grades 8-10.

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