yejilovesyejis
yejilovesyejis yejilovesyejis
  • 15-11-2019
  • Mathematics
contestada

Write the equation of the line perpendicular to 4x+y=3 that passes through (-4,-6). Write your answer in slope-intercept form. Show your work.

Respuesta :

BrainySophiee
BrainySophiee BrainySophiee
  • 19-11-2019

Answer:

y = 1/4x - 5

Step-by-step explanation:

A perpendicular line is the opposite reciprocal of the original line.

  • First, change 4x + y = 3 to slope intercept form, y = mx + b
  • y = -4x + 3
  • Slope in original line is -4
  • The slope of s perpendicular line is
  • [tex] \frac{1}{4} [/tex]
  • Using point slope form y - y1 = m(x - x1)
  • Add your points (-4,-6)
  • y - (-6) = 1/4(x -(-4))
  • y + 6 = 1/4x + 1
  • y = 1/4x - 5
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