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3-4 1- Encontrar la pendiente \( y \) la ord \( -4 x+2 y+6=0 \) 2- Encontrar la pendiente \( y \) la or \( 4 x+5 y-4=0 \) 3- Encontrar la pendiente \( y \) la or \( 5 x-3 y-6=0 \)

Ask by Schneider Boone. in Mexico
Mar 12,2025

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Las pendientes de las ecuaciones son: 1. \( m = 2 \) 2. \( m = -\frac{4}{5} \) 3. \( m = \frac{5}{3} \)

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Para encontrar la pendiente de la ecuación de la recta, primero debemos reordenar la ecuación en la forma pendiente-intersección \(y = mx + b\), donde \(m\) es la pendiente. 1. La ecuación \(-4x + 2y + 6 = 0\) se puede reescribir como \(2y = 4x - 6\) y luego \(y = 2x - 3\). Así que la pendiente \(m\) es **2**. 2. La ecuación \(4x + 5y - 4 = 0\) se convierte en \(5y = -4x + 4\) y luego \(y = -\frac{4}{5}x + \frac{4}{5}\). Por lo tanto, la pendiente \(m\) es **-\(\frac{4}{5}\)**. 3. Finalmente, para \(5x - 3y - 6 = 0\), se reorganiza a \(3y = 5x - 6\) y se expresa como \(y = \frac{5}{3}x - 2\). De esta manera, la pendiente \(m\) es **\(\frac{5}{3}\)**.

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