Lösung 2.2:5b

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Because the straight line is to have a gradient of \displaystyle -3, its equation can be written as


\displaystyle y=-3x+m


where \displaystyle m is a constant. If the line is also to pass through the point \displaystyle \left( x \right.,\left. y \right)=\left( 1 \right.,\left. -2 \right), the point must satisfy the equation of the line


\displaystyle -2=-3\centerdot 1+m


which gives that \displaystyle m=1.

The answer is thus that the equation of the line is \displaystyle y=-3x+1.