Solve {l}{|-k+3+b|/sqrt{1+k^2}=1}{|3k+1+b|/sqrt{1+k^2}=3}

\left\{ \begin{array} { l } { \frac { | - k + 3 + b | } { \sqrt { 1 + k ^ { 2 } } } = 1 } \\ { \frac { | 3 k + 1 + b | } { \sqrt { 1 + k ^ { 2 } } } = 3 } \end{array} \right.

Solve for k, b

k=\frac{4}{3}\approx 1.333333333\text{, }b=0

k=-\frac{3}{4}=-0.75\text{, }b=-\frac{5}{2}=-2.5

k=0\text{, }b=-4

Quiz

\left\{ \begin{array} { l } { \frac { | - k + 3 + b | } { \sqrt { 1 + k ^ { 2 } } } = 1 } \\ { \frac { | 3 k + 1 + b | } { \sqrt { 1 + k ^ { 2 } } } = 3 } \end{array} \right.

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