To find the distance between points $P(1, -3)$ and $Q(3, -4)$, we use the distance formula:

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

Given:

• $P(x_1, y_1) = (1, -3)$
• $Q(x_2, y_2) = (3, -4)$

Substitute the values:

$d = \sqrt{(3 - 1)^2 + (-4 + 3)^2}$

$= \sqrt{(2)^2 + (-1)^2}$

$= \sqrt{4 + 1}$

$= \sqrt{5}$

So, the distance between points $P$ and $Q$ is $\sqrt{5}$.

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Related Questions:

1. How do you find the midpoint between two points?
2. What is the distance between the points $(2, 3)$ and $(-1, -2)$?
3. How can you find the distance between points on a 3D plane?
4. Can the distance formula be derived from the Pythagorean Theorem?
5. What is the significance of the distance formula in coordinate geometry?

Tip: For easier calculations, keep square roots in radical form unless you need a decimal approximation.