Respuesta:
[tex]m=\frac{345}{88}[/tex]
Explicación paso a paso:
[tex]\mathrm{Pendiente\:entre\:dos\:puntos}:\quad \mathrm{Pendiente}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-\frac{4}{5},\:-6\right),\:\left(x_2,\:y_2\right)=\left(\frac{2}{3},\:-\frac{1}{4}\right)\\\\m=\frac{-\frac{1}{4}-\left(-6\right)}{\frac{2}{3}-\left(-\frac{4}{5}\right)}\\\\m=\frac{345}{88}[/tex]
Para calcular la pendiente utilizaremos esta fórmula:
[tex] \bold{m \: = \: \frac{y_2 \: - \: y_1}{x_2 \: - \: x_1} }[/tex]
[tex]m \: = \: \frac{ - \frac{1}{4} \: - \: ( - 6)}{ \frac{2}{3} \: - \: ( - \frac{4}{5} )} [/tex]
[tex]m \: = \: \frac{ - \frac{1}{4} \: + \: 6 }{ \frac{2}{3} \: + \: \frac{4}{5} } [/tex]
[tex]m \: = \: \frac{ \frac{23}{4} }{ \frac{22}{15} } [/tex]
[tex] \boxed{ \bold{m \: = \: \frac{345}{88} }}[/tex]
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Respuesta:
[tex]m=\frac{345}{88}[/tex]
Explicación paso a paso:
[tex]\mathrm{Pendiente\:entre\:dos\:puntos}:\quad \mathrm{Pendiente}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-\frac{4}{5},\:-6\right),\:\left(x_2,\:y_2\right)=\left(\frac{2}{3},\:-\frac{1}{4}\right)\\\\m=\frac{-\frac{1}{4}-\left(-6\right)}{\frac{2}{3}-\left(-\frac{4}{5}\right)}\\\\m=\frac{345}{88}[/tex]
Tema: Rectas
Para calcular la pendiente utilizaremos esta fórmula:
[tex] \bold{m \: = \: \frac{y_2 \: - \: y_1}{x_2 \: - \: x_1} }[/tex]
Datos:
Sustituimos...
[tex]m \: = \: \frac{ - \frac{1}{4} \: - \: ( - 6)}{ \frac{2}{3} \: - \: ( - \frac{4}{5} )} [/tex]
[tex]m \: = \: \frac{ - \frac{1}{4} \: + \: 6 }{ \frac{2}{3} \: + \: \frac{4}{5} } [/tex]
[tex]m \: = \: \frac{ \frac{23}{4} }{ \frac{22}{15} } [/tex]
[tex] \boxed{ \bold{m \: = \: \frac{345}{88} }}[/tex]
R// La pendiente es 345/88
Besitos OvO