Question

En cada caso halla el valor de la incógnita teniendo encenta el valor de la pendiente.
ayuda solo me falta este

(-1/3,3/4);(h,5/6); m=7/12

Answer 1

$\textbf{La ecuaci\'on de la pendiente :} \\ \\ \boxed{m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{2}}} \\ \\ \\ \dfrac{7}{12} = \dfrac{\dfrac{5}{6}-\dfrac{3}{4}}{h - \left(-\dfrac{1}{3}}\right)$

$\dfrac{7}{12} = \dfrac{\dfrac{20-18}{24} }{\dfrac{3h+1}{3}} \\ \\ \\ \dfrac{7}{12} = \dfrac{\dfrac{1}{12}}{\dfrac{3h+1}{3}} \\ \\ \\ \dfrac{7}{12} = \dfrac{3}{36h+12} \\ \\ \\ 252h + 84 = 36 \\ \\ \boxed{h = - \dfrac{4}{21} }$

Answer 2

Respuesta:

h = - 4/21

Explicación paso a paso:

$m = \frac{ \frac{5}{6} - \frac{3}{4} }{h - ( - \frac{1}{3} )} \\ \frac{7}{12} = \frac{ \frac{10 - 9}{12} }{h + \frac{1}{3} } \\ \frac{7}{12} (h + \frac{1}{3} ) = \frac{1}{12} \\ h + \frac{1}{3} = \frac{1}{12} \div \frac{7}{12} \\ h = \frac{1}{7} - \frac{1}{3} \\ h = \frac{3 - 7}{21} \\ h = - \frac{4}{21}$