Solution 2.2:5e

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The line should go through the points \displaystyle \left( 5 \right.,\left. 0 \right) and \displaystyle \left( 0 \right.,\left. -8 \right) which must therefore satisfy the equation of the line \displaystyle y=kx+m, i.e.


\displaystyle 0=k\centerdot 5+m


From the other equation, we get \displaystyle m=-8 and substituting this into the first equation gives


\displaystyle 0=5k-8\ \Leftrightarrow \ k={8}/{5}\;


The gradient of the line is \displaystyle {8}/{5}\;.