# Algebra 9 - 2x – 3y = 6(Add 3y to each side of the...

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What would the equation be of line L, if L has an intercept (0,2) and is perpendicular to the line with equation 2x-3y=6 Perpendicular lines have slopes that are negative reciprocals of each other. For example, if an equation has a slope of 2, the equation of a line that is perpendicular to the first equation would have a slope that equals -1/2. To be able to answer this question, re-write the given equation in slope-intercept form:
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Unformatted text preview: 2x – 3y = 6 (Add 3y to each side of the equation) 2x = 6 + 3y (Subtract 6 from each side of the equation) 2x – 6 = 3y (Divide each side by 3) 2 2 3 x y- = 2 2 3 y x =-Since the slope of the given equation is 2 3 , therefore, an equation of a line that is perpendicular to the given equation would have a slope of 3 2-. Since equation of Line L has an intercept of (0,2), then the equation of line L would be: 3 2 2 y x = -+...
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