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What is the equation of the line that is perpendicular to the line y = 2x+5 and
passes through the point (-4, 2)?
O A. y = -1/2x+2
B. y = 2x + 6
O C. y = 2x-6
O D. y=-1/2x

Respuesta :

olioctipi
Perpendicular equations have negative reciprocal gradients (so it’s gradient will be -1/2)

And if you draw a quick sketch of the lines A and D (they have the right gradients) then you can see which option is the best fit. I used desmos and option A passes through (-4,2)
Wolfzach88

Answer:

y= -1/2x

Step-by-step explanation:

  • perpendicular is the opposite slope so -1/2 is the opposite slope of 2
  • y=mx+b to solve for b I was taught to plug in what you have so
  • 2= -1/2(-4)+b
  • 2=2+b
  • subtract 2 on both sides to get b=0

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