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To determine the equation of the straight line passing through the given points, we first need to identify the pattern in the coordinates.

### Given Points:
The points provided are:
- \( (-3, 9) \)
- \( (-2, 7) \)
- \( (-1, 5) \)
- \( (0, 3) \)
- \( (1, 1) \)
- \( (2, -1) \)

### Finding the Slope:
The slope \( m \) of the line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is calculated as:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Let's use the first two points \((-3, 9)\) and \((-2, 7)\):

\[
m = \frac{7 - 9}{-2 + 3} = \frac{-2}{1} = -2
\]

Now, we can verify the slope with the next set of points \((-2, 7)\) and \((-1, 5)\):

\[
m = \frac{5 - 7}{-1 + 2} = \frac{-2}{1} = -2
\]

We see that the slope \( m = -2 \) is consistent between all points, indicating that all points lie on the same straight line.

### Determining the Equation:
With the slope \( m = -2 \), we can use the point-slope form of the line equation:

\[
y - y_1 = m(x - x_1)
\]

Let's use the point \((0, 3)\):

\[
y - 3 = -2(x - 0) \implies y = -2x + 3
\]

### Conclusion:
The equation of the straight line passing through the given points is:

\[
\boxed{y = -2x + 3}
\]

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. How do you find the equation of a line given two points?
2. What does the slope of a line represent?
3. How do you check if multiple points lie on the same line?
4. What are different forms of linear equations?
5. How can we find the x-intercept and y-intercept from the equation of a line?

**Tip:** Always double-check your calculations when finding slopes to ensure consistency across multiple points!

Determine the equation of the straight line passing through the given points (X = [-3, -2, -1, 0, 1, 2], Y = [9, 7, 5, 3, 1, -1]).

Find the equation of the straight line passing through the points with coordinates X = [-3, -2, -1, 0, 1, 2] and Y = [9, 7, 5, 3, 1, -1]. Learn the key steps of calculating the slope and using the point-slope form to determine the linear equation. Suitable for students in Grades 8-10.

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