Question

Is y-4=2(x-2) and 4x-2y=5 perpendicular

Answer 1

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.

Explanation:

Given:

`y-4=2(x-2)=2x=-4\\\\y=2x` .......Equation ( 1 )

`4x-2y=5\\2y=4x-5\\\\y=2x-(5)/(2)` .......Equation ( 2 )

Comparing with,

`y=mx+c` ......General Slope point form

Where m =slope

We get

`Slope = m1 = 2` For Equation ( 1 )

`Slope = m2 = 2` For Equation ( 2 )

Hence,

`m1=m2[=2`

Therefore, Slopes are Equal Hence the Lines are Parallel not Perpendicular.

For Perpendicular we require

`m1* m2=-1`

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.