Question

a reta que passa pela origem e pelo ponto medio do segmento AB com A= (0,3) e B= (5,0) tem qual coeficiente angular
a) 3/5
b) 2/5
c) 3/2
d) 1​

Answer 1

$x_{m}=\dfrac{x_{A} +x_{B}}{2}\\x_{m}=\dfrac{0+5}{2}=\dfrac{5}{2}$

$y_{m}=\dfrac{y_{A}+y_{B}}{2}\\y_{m}=\dfrac{3+0}{2}=\dfrac{3}{2}$

A reta passará pelos pontos $A(0,0)\,e\,M(\dfrac{5}{2},\dfrac{3}{2})$

$m=\dfrac{\dfrac{3}{2}-0}{\dfrac{5}{2}-0}\\m=\dfrac{\dfrac{3}{2}}{\dfrac{5}{2}}$

$m=\dfrac{3}{\cancel2}.\dfrac{\cancel2}{5}$

$\boxed{\boxed{\mathsf{m=\dfrac{3}{5}}}}$