Therefore they are perpendicular.
Step-by-step explanation:
A equation of line is
y =mx +c
Here the slope of the line is m.
Given equations are
x - 2y = 18
⇔-2y = -x +18
[tex]\Leftrightarrow y =\frac{1}{2} x -9[/tex]............(1)
and 2x + y = 6
⇔y = -2x +6 ............(2)
Therefore the slope of equation (1) is[tex](m_1)[/tex]= [tex]\frac{1}{2}[/tex]
Therefore the slope of equation (2) is[tex](m_2)[/tex]= -2
If two lines are perpendicular, when we multiply their slope we get -1.
therefore,
[tex]m_1. m_2[/tex] =[tex]\frac{1}{2}[/tex]. (-2) = -1
Therefore they are perpendicular.
