Pregunta
Use the given conditions to write an equation for the line in the indicated form. Passing through \( (3,4) \) and parallel to the line whose equation is \( y=2 x-6 \); point-slope form
Ask by Byrd Pierce. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
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The equation of the line in point-slope form is \( y - 4 = 2(x - 3) \).
Solución
Since the line is parallel to y = 2x – 6, it has the same slope, m = 2. Using the point-slope form with point (3, 4), the equation is:
y – 4 = 2(x – 3).
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Simplifique esta solución Bonus Knowledge
To find the equation of a line parallel to the given line \( y = 2x - 6 \), we note that parallel lines have the same slope. Here, the slope is 2. Using the point-slope form of the equation, which is \( y - y_1 = m(x - x_1) \), we can substitute \( m = 2 \) and the point \( (3, 4) \) where \( x_1 = 3 \) and \( y_1 = 4 \). Thus, the equation becomes: \[ y - 4 = 2(x - 3). \]
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