Algebra/Math

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Question
What is the solution for this problem?

Write a linear equation perpendicular to y = 4x - 1/3 passing through the point (4,1).

Answer
The line y=4x-1/3 has slope 4
The line we want is perpendicular to this line, so its slope will be -1/4
The line we want thus has equation y=(-1/4)x+b , and we need to find b
The line goes through (4,1) , so 1 =(-1/4)(4)+b ,  1 = -1 + b  and 2=b
The answer is y=(-1/4)x+2  

Algebra

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Any questions on High School Algebra, College Algebra, Abstract Algebra. I can help with word problems, solving equations, trigonometry, inequalities, Gaussian Elimination, Linear Algebra, groups, fields, you name it!

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Ph.D. in Mathematics, specialist in Algebra. I have taught High School students and college students at three state universities.

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Mathematical Association of America. American Mathematical Society.

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Regular contributions to the problems section of the American Mathematical Monthly journal.

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B.S., M.S., Ph.D.

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