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find the general equation of the line that passes through the points p 1 5 7 and p2 4 2

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Find the general equation of the line that passes through the points 𝑃 1(−5 , 7) and 𝑃2(4 , 2)

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Answer to a math question Find the general equation of the line that passes through the points 𝑃 1(−5 , 7) and 𝑃2(4 , 2)

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Encontrar la ecuación general de la recta que pasa por dos puntos. 𝑃_1(−5,7) y P_2(4,2), podemos usar la forma punto-pendiente de una ecuación lineal: yy-1=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}\left(x-x_1\right) Donde \left(x_1,y_1\right)=(-5,7)\:y\:\left(x_2,y_2\right)=\left(4,2\right) Poniendo valores y-7=\frac{(2-7)}{4-\left(-5\right)}(x-\left(-5\right))

y-7=- \frac{5}{9}\left(x+5\right)

y=-\frac{5}{9}x-\frac{25}{9}+7=-\frac{5 }{9\:}\:x+\frac{38}{9} la respuesta es y=-\frac{5}{9}x+\frac{38}{9}

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