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!