Write an equation of the line containing the given point and perpendicular to the given line. express your answer in the form y=
1 answer:
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Answer:
Step-by-step explanation:
1) Move all terms to one side.
2) Factor using Polynomial Division.
1 - Factor the following.
2 - First, find all factors of the constant term 210.
3) Try each factor above using the Remainder Theorem.
Substitute 1 into x. Since the result is not 0, x-1 is not a factor..
Substitute -1 into x. Since the result is not 0, x+1 is not a factor..
Substitute 2 into x. Since the result is not 0, x-2 is not a factor..
Substitute -2 into x. Since the result is not 0, x+2 is not a factor..
Substitute 3 into x. Since the result is not 0, x-3 is not a factor..
Substitute -3 into x. Since the result is not 0, x+3 is not a factor..
Substitute 5 into x. Since the result is 0, x-5 is a factor..
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4) Polynomial Division: Divide by
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5) Rewrite the expression using the above.
3) Solve for
4) Use the Quadratic Formula.
1 - In general, given , there exists two solutions where:
2 - In this case, and
3 - Simplify.
5) Collect all solutions from the previous steps.