Cummings Lane
08/30/2023 · Junior High School

Una recta atraviesa el punto \( (8,6) \) y tiene una pendiente igual a \( \frac{5}{4} \). Escribir una ecuación en la forma punto pendiente para esta recta.

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La forma punto-pendiente de la ecuación de una recta se expresa como: \[ y - y_1 = m(x - x_1) \] donde \( (x_1, y_1) \) es un punto en la recta y \( m \) es la pendiente. En este caso, el punto dado es \( (8, 6) \) y la pendiente \( m \) es \( \frac{5}{4} \). Sustituyendo estos valores en la fórmula, tenemos: \[ y - 6 = \frac{5}{4}(x - 8) \] Esta es la ecuación de la recta en forma punto-pendiente.

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La ecuación de la recta es \( y - 6 = \frac{5}{4}(x - 8) \).
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