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What is an equation of the line that passes through the point (-2,7)(−2,7) and is perpendicular to the line x-4y=24x−4y=24?

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Answer:

4x +y = -1

Explanation:

The equation of the perpendicular line can be written by ...

  • swapping the x- and y-coefficients, negating one of them
  • choosing a new constant so the line goes through the given point.

The x- and y-coefficients in the given equation are 1 and -4, respectively. Since we want the leading coefficient positive, it is convenient to use 4 and 1 as the coefficients in the new equation. The constant can be found by substituting (x, y) = (-2, 7) to see what it is.

4x +y = 4(-2) +7 = -1

The desired perpendicular line has an equation ...

4x +y = -1

What is an equation of the line that passes through the point (-2,7)(−2,7) and is-example-1
User Nick Rioux
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