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To solve this problem, we need to find the equation of a line with a slope of \(-3\) that passes through the point \((0, 7)\).

### Solution:

1. The equation of a line in slope-intercept form is:
   \[
   y = mx + b
   \]
   where \(m\) is the slope and \(b\) is the y-intercept.

2. Given:
   - Slope (\(m\)) = \(-3\)
   - The line passes through the point \((0, 7)\).

3. Since the line passes through \((0, 7)\), the y-intercept \(b\) is \(7\). This is because when \(x = 0\), \(y = b\).

4. Substitute \(m = -3\) and \(b = 7\) into the equation:
   \[
   y = -3x + 7
   \]

### Answer:
The correct equation of the line is:
\[
y = -3x + 7
\]

### Correct Answer Choice:
The second option, \( y = -3x + 7 \), is the correct answer.

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Do you have any questions or would you like a further breakdown?

### Related Questions:
1. How do you find the equation of a line if given two points?
2. What is the significance of the slope in a line equation?
3. How do you convert a line equation from point-slope form to slope-intercept form?
4. How do you determine if two lines are parallel?
5. What is the formula for finding the midpoint between two points?

### Tip:
Remember, the y-intercept \(b\) in a line's equation \(y = mx + b\) is simply the \(y\)-value when \(x = 0\). This makes it easy to find when you have the slope and a point where \(x\) is zero!

What is the equation of the line that has a slope of -3 and goes through the point (0, 7)?

Learn how to find the equation of a line with a slope of -3 that passes through the point (0, 7). This problem covers the concept of slope-intercept form in linear equations, providing a clear solution for students in Grades 8-10.

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