Question

calcule a distância do ponto p a reta r no caso
P(1,-2) e r y= -3/4x + 1

Answer 1

$d= \frac{|Ax+By+C|}{ \sqrt{ A^{2}+B^{2} } } \\\\ d= \frac{| \frac{3}{4}(1) +1(-2)-1|}{ \sqrt{ \frac{3}{4}^{2}+1^{2} } } \\\\ d= \frac{| \frac{3}{4} -2-1|}{ \sqrt{ \frac{6}{8}+1 } } \\\\ d= \frac{|0,75 -2-1|}{ \sqrt{0,75+1 } } \\\\ d= \frac{|2,25|}{ \sqrt{1,75 } } \\\\ d= \frac{|2,25|}{ {1,32 } } \\\\ d=1,7$