Question

Write the equation for the line through the following cities. 16.Ankara and Tbilisi ______________________________________ 17.London and Warsaw ______________________________________ 18.Amsterdam and Minsk ______________________________________ 19.Oslo and Rome ______________________________________ 20.Bern and Riga ______________________________________ 21.Tallinn and Vilnius ______________________________________ 22.Madrid and Sofia __________

Answer 1

See explanation

Explanation:

The question is incomplete, as the graph or points of each city are not given.

So, I will provide a general explanation.

To calculate the equation of line through two points;

Start by writing out the coordinates of the two points.

For instance:

`London = (4,6)`

`Warsaw = (20,10)`

This points will be represented as:

`(x_1,y_1) = (4,6)`

`(x_2,y_2) = (20,10)`

Calculate the slope (m)

`m = (y_2 - y_1)/(x_2 -x_1)`

`m = (10 - 6)/(20 - 4)`

`m = (4)/(16)`

Simplify

`m = (1)/(4)`

The equation is then calculated as:

`y = m(x - x_1) + y_1`

This gives:

`y = (1)/(4)(x - 4) + 6`

Open bracket

`y = (1)/(4)x - 1 + 6`

`y = (1)/(4)x +5`

Apply the above steps in the original question