Respuesta :

The given lines are perpendicular

Step-by-step explanation:

if Two lines are perpendicular then their slopes are

m[tex]m_{1}=-\frac{1}{m_{2}}[/tex]

Where m₁ is slope of first line and m₂ is the slope of second line.

Since the lines are in slope-point form the standard form is:

[tex]y=mx+b[/tex]

where m is the slope

The slope of first line y= -9/5x + 1/5 is: m₁ = -9/5

The slope of second line y= 5/9x + 2/9 is: m₂= 5/9

So,  m[tex]m_{1}=-\frac{1}{m_{2}}[/tex] i.e [tex]-\frac{9}{5}=\frac{5}{9}[/tex]

So, The given lines are perpendicular

Keywords: Perpendicular lines, slope

Learn more about Perpendicular lines at:

  • brainly.com/question/6436086
  • brainly.com/question/12954015
  • brainly.com/question/1979240

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