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Write an equation of the line perpendicular to 6x + 7y=126, through (7,8).​

1 Answer

5 votes

Answer:

y = 7/6 * x - 1/6

Explanation:

6x + 7y = 126

y = (- 6/7) * x + 18

slope: -6/7

A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line

slope' : 7/6

y = mx + b

8 = 7/6 * 7 + b

b = (48-49) / 6 = - 1/6

equation: y = 7/6 * x - 1/6

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