To find the distance between two points $(-6, 8)$ and $(-3, 9)$ in a coordinate plane, you can use the distance formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Here, $(x_1, y_1) = (-6, 8)$ and $(x_2, y_2) = (-3, 9)$. Plugging in the values:

$d = \sqrt{(-3 - (-6))^2 + (9 - 8)^2}$

Simplifying further:

$d = \sqrt{(-3 + 6)^2 + (9 - 8)^2}$ $d = \sqrt{(3)^2 + (1)^2}$ $d = \sqrt{9 + 1}$ $d = \sqrt{10}$

So, the distance between the points is $\sqrt{10}$.

Would you like more details or have any questions about this solution?

Here are 5 related questions you might find interesting:

1. How do you find the midpoint between two points in a coordinate plane?
2. What is the slope of the line passing through points $(-6, 8)$ and $(-3, 9)$?
3. How do you find the equation of a line given two points?
4. What is the distance between the origin and the point $(4, 5)$?
5. How do you use the Pythagorean Theorem to find the distance between two points?

Tip: When using the distance formula, remember that the order of subtraction doesn’t matter because the distance squared will eliminate any negative signs.