Question

Are y=2x+6 and 6t=2x+9 perpendicular

Answer 1

Therefore,

`y=2x+6` and

`6y=2x+9` are not Perpendicular.

Explanation:

Given:

`y=2x+6` ............................Equation of line( 1 )

`6y=2x+9\\y=(1)/(3)+(3)/(2)` ............................Equation of line( 2 )

Solution:

So the Equations are written in

`y=mx+b`

Where m is the slope of the line

On Comparing we get

`Slope = m1 = 2`

`Slope = m2 = (1)/(3)`

So for the lines to be Perpendicular.

Product of slopes = - 1

m1 × m2 = -1

So Product of slopes of the given lines are

`m1* m2=2* (1)/(3)=(2)/(3)`

Which is not equal to -1

Therefore,

`y=2x+6` and

`6y=2x+9` are not Perpendicular.