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anonymous
 5 years ago
Find an equation of the line that is perpendicular to the line 3x  5y = 11 and that has the same yintercept as the line 2x + 9y = 18.
anonymous
 5 years ago
Find an equation of the line that is perpendicular to the line 3x  5y = 11 and that has the same yintercept as the line 2x + 9y = 18.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Rearranging the first eqt.: 5y = 11  3x y = (11/5) + (3/5)x The equation of the perpendicular line has a slope of: 1/M If the slope of the line is (3/5) then the perpendicular line will have a slope: 1/(3/5) = 5/3 therefore the perpendicular equation is: y = (5/3)x + b We know that the perpendicular line has the same yintercept as the line 2x + 9y = 18. To find the yintercept, x=0: 0 + 9y = 18 y = 2 so, yintercepts at (0,2) Plug in the point into the perpendicular eqt. we find: 2 = 0 + b b = 2 Hence, y = (5/3)x + 2 Is that right?
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