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:
#learnwithBrainly