Question

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

Answer 1

Answer:

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.

Step-by-step explanation:

Given:

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

$4x-2y=5\\2y=4x-5\\\\y=2x-\dfrac{5}{2}$  .......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

$m1\times m2=-1$

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.