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Write the equation of a line perpendicular to the given line that passes through the point (4, 1) . Be sure to Show all work on a piece of notebook paper as one of the questions later in this test asks you to submit a picture of your work. Be sure to include the problem number next to your work! y = 4/9 * x + 1


Equation or perpendicular ?
Don’t forget to include y=

Sagot :

Mhanifaidn

Answer:

  • y = -9/4x + 10

Step-by-step explanation:

Given line:

  • y = 4/9x + 1

Perpendicular line has opposite reciprocal slope:

  • y = -9/4x + b

Use the coordinates of the point (4, 1) to find b:

  • 1 = -9/4(4) + b
  • 1 = -9 + b
  • b = 1 + 9
  • b = 10

The line is:

  • y = -9/4x + 10
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