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Which of the following is the equation of a line perpendicular to the line

Which of the following is the equation of a line perpendicular to the line-example-1
User Sachu
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1 Answer

12 votes

Answer:

  • A. - 2x + 3y = 21

Explanation:

The perpendicular lines have opposite reciprocal slopes.

The given line has a slope of:

  • m = -3/2

The perpendicular slope is:

  • m = 2/3

And its y-intercept is:

  • 9 = 2/3*3 + b
  • b = 7

The line is:

  • y = 2/3x + 7

Convert this into standard form and compare with answer choices:

  • 3y = 2x + 21
  • - 2x + 3y = 21

Correct choice is A

User FrostbiteXIII
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