Question

A reta r contem os pontos (-1,-3) e (2,3). O valor de m, de modo que o ponto (m,7) pertença a r

Answer 1

$m = \frac{y-y_o}{x-x_o}\\ m = \frac{3-(-3)}{2-(-1)}\\ m = \frac{6}{3}\\ m = 2.\\y-yo=m(x-x_o)\\y-3=2(x-2)\\y-3=2x-4\\y-3-2x+4=0\\y-2x+1=0\\P(m, 7)~pertence?\\---> Substitua.\\y-2x+1=0\\(7)-2(m)+1=0\\7+1=2m\\8=2m\\m=\frac{8}{2}\\ m=4.\\---> O~valor~de~'m'~igual~a~4.\\\\Att, Felipemlvr.$