Respuesta :

Answer:

y=1/2x

Solution:

  • The slopes of perpendicular lines are opposite reciprocals of each other.
  • The simplest way to determine a number's reciprocal is to flip it over, like so:
  • [tex]-2 ~ - > -\displaystyle\frac{1}{2}[/tex]
  • Now, change the sign:
  • [tex]\displaystyle\frac{1}{2}[/tex]
  • So we have the slope of the line that's perpendicular to the given line.
  • Now, let's find the line's equation.
  • First, let's write it in Point-Slope Form:
  • y-y1=m(x-x1)
  • y-(-2)=1/2(x-4)
  • y+2=1/2x-2 (Point slope)
  • Now, convert to slope-intercept:
  • y=1/2x+2-2
  • y=1/2x

Hope it helps.

Do comment if you have any query.

ba100609

Answer:

y=1/2x

Step-by-step explanation:

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