Pandora2016
Pandora2016 Pandora2016
  • 04-09-2016
  • Mathematics
contestada

The equation of line AB is (y-3) = 5 (x - 4). What is the slope of a line perpendicular to line AB?

A) -5
B) 5
C) -1/5
D) 1/5

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 06-09-2016
y - 3 = 5(x - 4)
y - 3 = 5x - 20
y = 5x - 20 + 3 = 5x - 17
=> slope = 5

For perpendicular line, m2 = -1/m1 = -1/5
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Hagrid
Hagrid Hagrid
  • 10-09-2016
Perpendicular lines are lines that intersect. The angle made by their intersection is a right angle. To know if 2 lines are perpendicular is through their slopes. The slope of the other line must be the negative reciprocal of the slope of the first. Since the slope of line AB is 5 hence the slope of the other line must be -1/5. C is the answer. 
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