Question

calcular la pendiente. a(a/b, 1) b(a, b) ​

Answer 1

Respuesta:

[tex]m=\dfrac{b}{a}[/tex]

Explicación paso a paso:

Pendiente entre dos puntos [tex](x_1,y_1)[/tex] y [tex](x_2,y_2)[/tex]  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(\dfrac{a}{b}, 1 \right)[/tex] y   [tex](a,b)[/tex]    

[tex]m=\dfrac{b-1 }{a-\dfrac{a}{b} }\\\\\\m=\dfrac{b-1}{\dfrac{ab}{b}-\dfrac{a}{b} }\\\\\\m=\dfrac{b-1}{\dfrac{ab-a}{b} }\\\\\\m= \dfrac{\dfrac{b-1}{1} }{\dfrac{a(b-1)}{b} }\\\\\\m=\dfrac{b(b-1)}{a(b-1)} \\\\\\m=\dfrac{b}{a}[/tex]