Lösung 2.2:5e
Aus Online Mathematik Brückenkurs 1
(Unterschied zwischen Versionen)
K (Lösning 2.2:5e moved to Solution 2.2:5e: Robot: moved page) |
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+ | The line should go through the points | ||
+ | <math>\left( 5 \right.,\left. 0 \right)</math> | ||
+ | and | ||
+ | <math>\left( 0 \right.,\left. -8 \right)</math> | ||
+ | which must therefore satisfy the equation of the line | ||
+ | <math>y=kx+m</math>, i.e. | ||
+ | |||
+ | |||
+ | <math>0=k\centerdot 5+m</math> | ||
+ | |||
+ | |||
+ | From the other equation, we get | ||
+ | <math>m=-8</math> | ||
+ | and substituting this into the first equation gives | ||
+ | |||
+ | |||
+ | <math>0=5k-8\ \Leftrightarrow \ k={8}/{5}\;</math> | ||
+ | |||
+ | |||
+ | The gradient of the line is | ||
+ | <math>{8}/{5}\;</math>. | ||
+ | |||
+ | |||
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Version vom 10:05, 18. Sep. 2008
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}\;.