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

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