Exercises: Drawing graphs of linear functions

Draw the graphs of each of the following functions in a coordinate system.

$\mathrm{f}\left(\mathrm{x}\right)=-\frac{2}{3}\mathrm{x}+2$
Für diese Aufgabe benötigst Du folgendes Grundwissen: Lines in coordinate systems
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Draw the $y$ -axis intercept as a point (here $A (0 ∣ 2)$ ).
Go according to the slope 3 to the right and 2 down and draw the point (here $B (3 ∣ 0)$ ).
Connect the two points to form a straight line.
$\mathrm{f}\left(\mathrm{x}\right)=2\mathrm{x}-4$
Für diese Aufgabe benötigst Du folgendes Grundwissen: Lines in coordinate systems
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Draw the $y$ -axis intercept as a point (here $A (0 ∣ - 4)$ ).
Go according to the slope 1 to the right and 2 up and draw the point (here $B (1 ∣ - 2)$ ).
Connect the two points to form a straight line.
$\mathrm{f}\left(\mathrm{x}\right)=-\frac{5}{4}\mathrm{x}+1$
Für diese Aufgabe benötigst Du folgendes Grundwissen: Lines in coordinate systems
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Draw the $y$ -axis intercept as a point (here $A (0 ∣ 1)$ ).
Go according to the slope 4 to the right and 5 down and draw the point (here $B (4 ∣ - 4)$ ).
Connect the two points to form a straight line.
$\mathrm{f}(\mathrm{x})=-4\mathrm{x}+5$
Für diese Aufgabe benötigst Du folgendes Grundwissen: Lines in coordinate systems
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Draw the $y$ -axis intercept as a point (here $A (0 ∣ 5)$ ).
Go according to the slope 1 to the right and 4 down and draw the point (here $B (1 ∣ 1)$ ).
Connect the two points to form a straight line.
$\mathrm{f}\left(\mathrm{x}\right)=-0.3\mathrm{x}$
Für diese Aufgabe benötigst Du folgendes Grundwissen: Lines in coordinate systems
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The comparison with the general form of the straight line equation , results in: Intercept t=0 and slope $m=-\frac{3}{10}$
From the value of the $y$ -axis intercept $t = 0$ it follows that our line is a line passes through the origin: $A = (0 ∣ 0)$ .
Write the slope as a fraction: $-0{,}3=-\frac{3}{10}$ . Go 10 to the right and 3 down according to the slope. There you find a second point on the line $\text{B}(10|-3)$ .
The line is drawn through the two points $A$ and $B$ .
$\mathrm{f}\left(\mathrm{x}\right)=2.5$

Für diese Aufgabe benötigst Du folgendes Grundwissen: Lines in coordinate systems
The $y$ -value of the straight line is always 2.5. Therefore, the straight line is parallel to the $x$ -axis.
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