Question
Determine the equation of the line in its main form, L passes through the point (5, -1) and is parallel to the line whose equation is 9𝑥 + 𝑦 − 4 = 0
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Answer to a math question Determine the equation of the line in its main form, L passes through the point (5, -1) and is parallel to the line whose equation is 9𝑥 + 𝑦 − 4 = 0
Timmothy
4.898 Answers
1. Encontramos la pendiente \( m \) de la recta dada \( 9x + y - 4 = 0 \).
9x + y - 4 = 0
y = -9x + 4
Pendiente \( m = -9 \).
2. Usamos la fórmula punto-pendiente \( y - y_1 = m(x - x_1) \) con \( m = -9 \) y el punto dado \( (5, -1) \):
y - (-1) = -9(x - 5)
y + 1 = -9(x - 5)
y + 1 = -9x + 45
y = -9x + 44
3. La ecuación de la recta es entonces:
y = -9x + 44
Solución: y = -9x + 44
Pendiente \( m = -9 \).
2. Usamos la fórmula punto-pendiente \( y - y_1 = m(x - x_1) \) con \( m = -9 \) y el punto dado \( (5, -1) \):
3. La ecuación de la recta es entonces:
Solución:
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