Respuesta :
Answer:
perpendicular
Step-by-step explanation:
Calculate the slopes m of the lines using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = J (11, - 2 ) and (x₂, y₂ ) = K (3, - 2 )
[tex]m_{JK}[/tex] = [tex]\frac{-2-(-2)}{3-11}[/tex] = [tex]\frac{-2+2}{-8}[/tex] = [tex]\frac{0}{-8}[/tex] = 0
A line with a slope of 0 is a horizontal line parallel to the x- axis
Repeat with (x₁, y₁ ) = L (1, - 7 ) and (x₂, y₂ ) = M (1, - 2 )
[tex]m_{LM}[/tex] = [tex]\frac{-2-(-7)}{1-1}[/tex] = [tex]\frac{-2+7}{0}[/tex] = [tex]\frac{5}{0}[/tex] ← undefined slope
A line with an undefined slope is a vertical line parallel to the y- axis
Since JK is horizontal and LM is vertical then they are perpendicular.
Based on where they both his the graph they would run PERPENDICULAR to each other
