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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 9š‘„ + š‘¦ āˆ’ 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 9š‘„ + š‘¦ āˆ’ 4 = 0

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Timmothy
4.8
99 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 fĆ³rmula 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 ecuaciĆ³n de la recta es entonces:
y = -9x + 44

SoluciĆ³n: y = -9x + 44

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