Lösung 2.2:6a
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Version vom 13:59, 22. Okt. 2008
According to the definition, the point of intersection between two lines is that point which lies on both lines; it must therefore satisfy the equations of both lines.
If the point of intersection has coordinates (x,y), then
|
\displaystyle \left\{\begin{align} y&=3x+5\,,\\ y&=0\,\textrm{.}\qquad\quad\text{(x-axis)}\end{align}\right. |
If we substitute \displaystyle y=0 into the first equation, we obtain
| \displaystyle 0=3x+5,\qquad\text{i.e.}\quad x=-\frac{5}{3}\,\textrm{.} |
The point of intersection is (-5/3,0).
