Find the equation of the line perpendicular to y=13x that passes through (7,8)

Kayla Mcdowell

Kayla Mcdowell

Answered question

2022-10-12

Find the equation of the line perpendicular to y=13x that passes through (7,8)

Answer & Explanation

cdtortosadn

cdtortosadn

Beginner2022-10-13Added 19 answers

Since the line is perpendicular to another line with slope 13, its slope will be 13's opposite reciprocal, or - 1 13 . So the line we are trying to find has the equation y = - 1 13 x + b . Since it passes through (7,8), it holds that 8 = - 7 13 + b b = 111 .
So the final equation is y = - 1 13 x + 111

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