# IB math Studies – IB μαθηματικά math studies

Επιλεγμένες ασκήσεις για IB μαθηματικά Studies SL

In this section you can find many exercises of IB mathematics Studies SL.

##### IB Math Studies, Coordinate geometry, Slope of a line

Find the gradient (slope) of a line passes through the points $$A(4,2)$$ and $$B(-1,0)$$.

Solution

The gradient (slope) $$m$$ of a line passes through two points $$A(x_{1}, y_{1})$$ and $$B(x_{2}, y_{2})$$ is given by the following formula:

$$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$$

Applying the above formula in our case we have that

$$m=\frac{0-2}{-1-4}=\frac{-2}{-5} = \frac{2}{5}$$