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The problem from your screenshot asks you to write an equation in slope-intercept form for a line that passes through the given point \((-9, -3)\) and is parallel to the line given by the equation \(y = -3x + 5\).

### Solution:

1. **Slope of the Parallel Line:**
   The equation of the given line is \(y = -3x + 5\). This is already in slope-intercept form \[ y = mx + b \], where \(m\) is the slope.
   
   Since the given line has a slope of \(m = -3\), the line parallel to it will have the **same slope** of \(-3\).

2. **Point-Slope Form Equation:**
   To find the equation of the line passing through the point \((-9, -3)\) and having a slope of \(-3\), we use the point-slope form:
   
   \[
   y - y_1 = m(x - x_1)
   \]
   Here, \(m = -3\), \(x_1 = -9\), and \(y_1 = -3\).
   
   Substituting the values:
   \[
   y - (-3) = -3(x - (-9))
   \]
   Simplifying:
   \[
   y + 3 = -3(x + 9)
   \]
   
   Distribute the \(-3\):
   \[
   y + 3 = -3x - 27
   \]
   
   Subtract 3 from both sides to isolate \(y\):
   \[
   y = -3x - 30
   \]

Thus, the equation of the line in slope-intercept form is:

\[
y = -3x - 30
\]

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Would you like further explanation on any of the steps, or do you have any questions?

### 5 Related Questions:
1. How do you find the slope of a line from two points?
2. What is the difference between point-slope form and slope-intercept form?
3. How do you determine if two lines are parallel based on their equations?
4. How would you find the equation of a line perpendicular to a given line?
5. How do you convert between different forms of linear equations?

**Tip:** For parallel lines, always remember they share the same slope!

Write an equation in slope-intercept form for the line that passes through the point (-9, -3) and is parallel to the graph of the equation y = -3x + 5.

Learn how to find the equation of a line in slope-intercept form that is parallel to y = -3x + 5 and passes through the point (-9, -3). This problem covers key concepts like slope-intercept form and parallel lines, suitable for students in Grades 8-10.

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