10Two lines - one common point

Graphical peculiarity

The intersection point lies on both straight lines.

For the $x$ -value of the intersection point, both lines provide the same $y$ -value.

At the intersection point both equations of the equation system are fulfilled!

So if you plug the intersection point into both equations, you get the same, true statement!

Intersection point: $\ P \; (\color{#cc0000}{1}|\color{#009999}{3})$

Line g:

$y=-\frac{2}{2}x + \frac{9}{2}$

$\color{#CC0000}{3}=-\frac{3}{2}\cdot \color{#009999}{1} + \frac{9}{2}$

$\color{#CC0000}{3}=3$

Line h:

$y=2x +1$

$\color{#CC0000}3=2\cdot \color{#009999}{1} +1$

$\color{#CC0000}{3}=3$

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