Question

se um ponto P e o ponto medio dos pontos A(1,4) e B(6,-3) encontre as cordenadas de P

Answer 1

m=(y2-y1)/(x2-x1)
m=(-3-4)/(6-1)
m=-7/5=-7/5
y-y'=m (x-x')
y-4=-7/5 (x-1)
y-4=-7x/5+7/5
y=-7x/5+7/5+4
y=-7x/5+27/5
5y=-7x+27
7x+5y-27=0
ponto medio=(x"-x')/2=(6-1)/2=5/2=2,5
coordenada de P>>>(5/2; y)
y=-7x/5+27/5
y=(-7.5/2)/5+27/5=(-35/2)/5+27/5=(-35/2)×(1/5)+27/5=
y=-35/10+27/5>>>> mmc(10;5)=10
y=(-35+54)/10=19/10
Coordenada de P=(5/2; 19/10) ou (2,5 ; 1,9)resposta★
7x+5y-27=0 >>>>Veracidade da solução★★
7.5/2+5.19/10-27=0
35/2+95/10-27=0
17,5+9,5-27=0
27-27=0
Abraços e disponha.