Răspuns:
A(2,3) B(5,-1)
a)m =(yA-YB)/(xA-xB)=
((3-(-1))/(2-5)=(3+1)/(-3)= -4/3
B)(y-yA)/(yB-yA)=(x-xa)/(x-xB)
(y-(-1))/(3-(-1))=(x-2)/(5-2)
(y+1)/(3+1)=(x-2)/3
(y+1)/4=(x-2)/3
y+1=4(x-2)/3
y=4x/3-8/3-1
y=4x/3-11/3
c)AB=√[(xa-xb)²+(yA-yB)²]=
√[(2-5)²+(3-(-1))²]=√[(-3)²+(3+1)²]=
√(9+4²)=√(9+16)=√25=
5
Explicație pas cu pas: