SOLUTION: write the equation of the line that satisfies the given conditions. Contains the point (-1,4) and is perpendicular to the line x-3y=3.
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-> SOLUTION: write the equation of the line that satisfies the given conditions. Contains the point (-1,4) and is perpendicular to the line x-3y=3.
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Question 1124022: write the equation of the line that satisfies the given conditions. Contains the point (-1,4) and is perpendicular to the line x-3y=3. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! 1) x -3y = 3
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rewrite equation 1 in slope - intercept form
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y = x/3 - 1
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the negative reciprocal of the slope, is the slope of a line perpendicular to the line in equation 1
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slope of perpendicular line is -3
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2) y = -3x +b
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now use the point (-1,4) by substituting for x and y in equation 2
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4 = -3(-1) +b
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b = 1
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equation of the line with the given conditions is
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y = -3x +1 (slope - intercept form)
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3x +y = 1 (standard form)
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