Find an equation for the line perpendicular to the line - 7x-9y=-6 having the same y-intercept as 2x-6y=6

Question

Mathematics

Brennen Oliver

18 May, 01:43

Find an equation for the line perpendicular to the line - 7x-9y=-6 having the same y-intercept as 2x-6y=6

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Answers (1)

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Jonathan Hogan · Answer 1

-7x - 9y = - 6

-9y = 7x - 6

y = - 7/9x + 2/3 ... slope here is - 7/9 ... a perpendicular line will have a negative reciprocal slope. So the perpendicular line will have a slope of 9/7

2x - 6y = 6

-6y = - 2x + 6

y = 1/3x - 1 ... the y int here is - 1

so ur equation is : y = 9/7x - 1 <==