Answer:
Therefore,
Slopes are Equal, Hence the Lines are not Perpendicular.
Step-by-step explanation:
Given:
[tex]y-4=2(x-2)=2x=-4\\\\y=2x[/tex] .......Equation ( 1 )
[tex]4x-2y=5\\2y=4x-5\\\\y=2x-\dfrac{5}{2}[/tex] .......Equation ( 2 )
Comparing with,
[tex]y=mx+c[/tex] ......General Slope point form
Where m =slope
We get
[tex]Slope = m1 = 2[/tex] For Equation ( 1 )
[tex]Slope = m2 = 2[/tex] For Equation ( 2 )
Hence,
[tex]m1=m2[=2[/tex]
Therefore, Slopes are Equal Hence the Lines are Parallel not Perpendicular.
For Perpendicular we require
[tex]m1\times m2=-1[/tex]
Therefore,
Slopes are Equal, Hence the Lines are not Perpendicular.
