Guerrero Weaver
03/08/2024 · Junior High School

Use point-slope form to write the equation of a line that passes through the point \( (-6,-4) \) with slope \( -\frac{16}{0} \).

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La forma punto-pendiente de la ecuación de una línea se expresa como: \[ y - y_1 = m(x - x_1) \] donde \( (x_1, y_1) \) es un punto en la línea y \( m \) es la pendiente. En este caso, el punto dado es \( (-6, -4) \) y la pendiente es \( -\frac{16}{0} \). Sin embargo, la pendiente \( -\frac{16}{0} \) es indefinida, lo que significa que la línea es vertical. Para una línea vertical que pasa por el punto \( (-6, -4) \), la ecuación se puede escribir como: \[ x = -6 \] Por lo tanto, la ecuación de la línea es: \[ x = -6 \]

Quick Answer

La ecuación de la línea es \( x = -6 \).
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