[tex]Zadanie\\\\P(-2;3)\\\\y=-\frac{1}{3}x+2\\\\\frac{1}{3}x+y-2=0\\\\d=\frac{\mid Ax_0+By_o+C\mid}{\sqrt{A^{2}+B^{2}}}\\\\d=\frac{\mid \frac{1}{3}\cdot (-2) +1\cdot3-2\mid}{\sqrt{(\frac{1}{3}) ^{2}+1^{2}}}=\frac{\mid -\frac{2}{3}+1\mid }{\sqrt{1\frac{1}{9} } }= \frac{\frac{1}{3} }{\sqrt{\frac{10}{9} } }=\frac{1}{3}\cdot\frac{3}{\sqrt{10} }=\frac{1}{\sqrt{10} }\cdot\frac{\sqrt{10} }{\sqrt{10} }=\frac{\sqrt{10} }{10}[/tex]
