Find A (2,4) B(3,6) find magntids AB find gradient AB

Let point A be $(x_1, y_1) = (2, 4)$ and point B be $(x_2, y_2) = (3, 6)$.

$\Delta x = x_2 - x_1 = 3 - 2 = 1$
$\Delta y = y_2 - y_1 = 6 - 4 = 2$

The magnitude of AB is given by the distance formula:
$\text{Magnitude AB} = \sqrt{(\Delta x)^2 + (\Delta y)^2}$
$\text{Magnitude AB} = \sqrt{(1)^2 + (2)^2}$
$\text{Magnitude AB} = \sqrt{1 + 4}$
$\text{Magnitude AB} = \sqrt{5}$

The magnitude of AB is $\boxed{\sqrt{5}}$.

Let point A be $(x_1, y_1) = (2, 4)$ and point B be $(x_2, y_2) = (3, 6)$.

The gradient of the line segment AB is given by the formula:
$\text{Gradient AB} = \frac{y_2 - y_1}{x_2 - x_1}$
$\text{Gradient AB} = \frac{6 - 4}{3 - 2}$
$\text{Gradient AB} = \frac{2}{1}$
$\text{Gradient AB} = 2$

The gradient of AB is $\boxed{2}$.