Question

7 (3, 0), (-11, -15)
8 (9, 3), (19, -17)
9 (19, -2), (-11, 10)

Explanation:

Step1: Identificar el objetivo (calcular pendiente)

Para dos puntos \((x_1, y_1)\) y \((x_2, y_2)\), la fórmula de la pendiente \(m\) es \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Vamos a resolver para la fila 7, 8 y 9.

Step2: Calcular pendiente para fila 7: \((3, 0)\) y \((-11, -15)\)

\(x_1 = 3\), \(y_1 = 0\); \(x_2 = -11\), \(y_2 = -15\)
\(m = \frac{-15 - 0}{-11 - 3} = \frac{-15}{-14} = \frac{15}{14}\)

Step3: Calcular pendiente para fila 8: \((9, 3)\) y \((19, -17)\)

\(x_1 = 9\), \(y_1 = 3\); \(x_2 = 19\), \(y_2 = -17\)
\(m = \frac{-17 - 3}{19 - 9} = \frac{-20}{10} = -2\)

Step4: Calcular pendiente para fila 9: \((19, -2)\) y \((-11, 10)\)

\(x_1 = 19\), \(y_1 = -2\); \(x_2 = -11\), \(y_2 = 10\)
\(m = \frac{10 - (-2)}{-11 - 19} = \frac{12}{-30} = -\frac{2}{5}\)

Answer:

• Fila 7: \(\boldsymbol{\frac{15}{14}}\)
• Fila 8: \(\boldsymbol{-2}\)
• Fila 9: \(\boldsymbol{-\frac{2}{5}}\)