Question

se o ponto m(4k-3,k-12) pertence a bissetriz dos quadrantes pares, determine o valor de k

Answer 1

Se o ponto pertence a bissetriz dos quadrantes pares, sabemos que:

$\boxed{x=-y}$

$4k-3=-(k-12)\\\\ 4k-3=-k+12\\\\ 4k+k=12+3\\\\ 5k=15\\\\ k=\frac{15}{5}\\\\ \boxed{k=3}$