Question

Find the equation of a line perpendicular to 4x-y=4 that contains the points (0,3)​

Answer 1

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Answer:

  x + 4y = 12

Step-by-step explanation:

The perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. Then those new coefficients can be used with the coordinates of the given point to find the required constant.

  line: 4x -y = 4

  perpendicular line: x +4y = constant

Through (0, 3):

  0 +4(3) = constant = 12

The perpendicular line has standard form equation x +4y = 12.