Rodriguez Barker
10/03/2023 · Senior High School
Determina la ec. de a) \( x_{1}=2, y_{1}=0, m=3 \)
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Step-by-step Solution
Para determinar la ecuación de la recta que pasa por el punto \( (x_1, y_1) = (2, 0) \) con una pendiente \( m = 3 \), podemos usar la forma punto-pendiente de la ecuación de la recta, que es:
\[
y - y_1 = m(x - x_1)
\]
Sustituyendo los valores dados:
\[
y - 0 = 3(x - 2)
\]
Simplificando la ecuación:
\[
y = 3(x - 2)
\]
\[
y = 3x - 6
\]
Por lo tanto, la ecuación de la recta es:
\[
y = 3x - 6
\]
Quick Answer
La ecuación de la recta es \( y = 3x - 6 \).
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