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The equation of the perpendicular line which passes through the point (-3,2) is y = -x - 1

The equation given:

  • -x + y = 9

y = x + 9

General equation in slope - intercept form :

  • y = bx + c
  • b = slope

Slope = 1

Since, the line is perpendicular ; the negative reciprocal of the slope ;

Negative reciprocal of 1 = - 1

  • The points = (-3, 2) ; x = -3, y = 2

y = bx + c

b = - 1 ; we need to calculate the intercept, c

2 = -(-3) + c

2 = 3 + c

c = 2 - 3

c = - 1

The equation of the perpendicular line is y = -x - 1

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