Question

Find the equation of a line perpendicular to -x=4-y that passes through the point (-3,8)

Answer 1

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Answer:

  y = -x +5

Step-by-step explanation:

Solving the given equation for y, we have ...

  y = x +4

The slope of this line is the coefficient of x: 1. The slope of the perpendicular line will be the opposite reciprocal of this: -1/1 = -1. The y-intercept of the perpendicular line can be found from ...

  b = y -mx = 8 -(-1)(-3) = 5

The perpendicular line has equation ...

  y = -x +5