A line $$ A B $$ joins the points $$ A(3,4) $$ and $$ B(5,8) $$. (a) Write down the co-ordinates of the midpoint of the line $$ A B $$.

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To find the coordinates of the midpoint of the line segment $$ AB $$ joining the points $$ A(3,4) $$ and $$ B(5,8) $$, we can use the midpoint formula:

$$
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
$$

where $$ (x_1, y_1) $$ are the coordinates of point $$ A $$ and $$ (x_2, y_2) $$ are the coordinates of point $$ B $$.

Substituting the coordinates of points $$ A $$ and $$ B $$:

- $$ A(3, 4) $$ gives $$ x_1 = 3 $$ and $$ y_1 = 4 $$
- $$ B(5, 8) $$ gives $$ x_2 = 5 $$ and $$ y_2 = 8 $$

Now, we can calculate the midpoint:

$$
\text{Midpoint} = \left( \frac{3 + 5}{2}, \frac{4 + 8}{2} \right) = \left( \frac{8}{2}, \frac{12}{2} \right) = (4, 6)
$$

Thus, the coordinates of the midpoint of the line segment $$ AB $$ are $$ (4, 6) $$.
The coordinates of the midpoint of line $$ AB $$ are $$ (4, 6) $$.

A line joins the points and .
(a) Write down the co-ordinates of the midpoint of the line .

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