Lösung 2.2:5e

Aus Online Mathematik Brückenkurs 1

(Unterschied zwischen Versionen)
Wechseln zu: Navigation, Suche
K
K (Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel))
Zeile 1: Zeile 1:
The line should go through the points (5,0) and (0,-8) which must therefore satisfy the equation of the line <math>y=kx+m</math>, i.e.
The line should go through the points (5,0) and (0,-8) which must therefore satisfy the equation of the line <math>y=kx+m</math>, i.e.
-
{{Displayed math||<math>0=k\cdot 5+m\qquad\text{and}\qquad -8 = k\cdot 0+m\,\textrm{.}</math>}}
+
{{Abgesetzte Formel||<math>0=k\cdot 5+m\qquad\text{and}\qquad -8 = k\cdot 0+m\,\textrm{.}</math>}}
From the second equation, we get <math>m=-8</math> and substituting this into the first equation gives
From the second equation, we get <math>m=-8</math> and substituting this into the first equation gives
-
{{Displayed math||<math>0=5k-8\quad\Leftrightarrow\quad k={8}/{5}\,\textrm{.}</math>}}
+
{{Abgesetzte Formel||<math>0=5k-8\quad\Leftrightarrow\quad k={8}/{5}\,\textrm{.}</math>}}
The slope of the line is 8/5.
The slope of the line is 8/5.

Version vom 08:29, 22. Okt. 2008

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

\displaystyle 0=k\cdot 5+m\qquad\text{and}\qquad -8 = k\cdot 0+m\,\textrm{.}

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

\displaystyle 0=5k-8\quad\Leftrightarrow\quad k={8}/{5}\,\textrm{.}

The slope of the line is 8/5.


Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_2.2:5e“