Question

O COEFICIENTE ANGULAR DA RETA QUE PASSA PELOS PONTOS A (-2 , 6) E PELO PONTO MÉDIO DO SEGMENTO COM EXTREMOS B (-3 , 5) E C (7 , 3).

Answer 1

$M(x_{m},y_{m})$

$x_{m}=\dfrac{x_{B}+x_{C}}{2}=\dfrac{-3+7}{2}=2$

$y_{m}=\dfrac{y_{B}+y_{C}}{2}=\dfrac{5+3}{2}=4$

$M(2,4)$

$A(-2,6)\:M(2,4)$

$\bf{m=\dfrac{y_{M}-y_{A}}{x_{M}-x_{A}}}$

$\bf{m=\dfrac{4-6}{2-(-2)}}$

$\bf{m=\dfrac{-2}{2+2}}$

$\bf{m=\dfrac{-2\div2}{4\div2}}$

$\bf{m=-\dfrac{1}{2}}$