Edpilgrim101 Edpilgrim101
  • 06-03-2019
  • Mathematics
contestada

write the equation of the line which is perpendicular to the line y=1/2×-3 and which passes through the point (-2,-5)​

Respuesta :

MsRay
MsRay MsRay
  • 06-03-2019

Answer:

y = -2x - 9

Step-by-step explanation:

The equation given, y = 1/2x -3, is a linear equation.  Lines that are perpendicular to linear equations have slopes that are the reciprocal opposite of the given line.  Since the slope of the given line is 1/2, the reciprocal opposite is: -2.  Now that you have the slope and a point, you can use slope-intercept formula to solve for 'b':

y = mx + b

-5 = -2(-2) + b

-5 = 4 + b

-9 = b

-2 = m

y = -2m - 9

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good job