Question

Qual a distancia entre os pontos b(2,-2) e c(3,4)

Answer 1

y=ax+b.... -2=2.a+b.....4=3a+b....×(-1)
-2=-2a-b
a=-2
-2=-2.2+b
-2=4+b.......4+2+b 6=b.....o a por ser negativo a reta e decrescente

Answer 2

$D= \sqrt{( x_b-x_a)^2+(y_b-y_a)^2}$

B (2,-2) C (3,4)

$x_a=2$
$x_b=3$
$y_a=-2$
$y_b=4$

$D= \sqrt{( 3-2)^2+(4-(-2))^2}$

$D= \sqrt{(3-2)^2+(4+2)^2}$

$D= \sqrt{1^2+6^2}$

$D= \sqrt{1+36}$

$D= \sqrt{37}=$

$D \approx 6,08$