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

Question

asked Oct 25, 2021 184k views

1 Answer

Arkku · Answer 1 · 2021-10-30T13:58:45+0000

Answer:

Therefore,

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.