Question

X-2y=18 2x+y=6 parallel perpendicular or neither

Answer 1

Therefore they are perpendicular.

Explanation:

A equation of line is

y =mx +c

Here the slope of the line is m.

Given equations are

x - 2y = 18

⇔-2y = -x +18

`\Leftrightarrow y =(1)/(2) x -9`............(1)

and 2x + y = 6

⇔y = -2x +6 ............(2)

Therefore the slope of equation (1) is
`(m_1)`=
`(1)/(2)`

Therefore the slope of equation (2) is
`(m_2)`= -2

If two lines are perpendicular, when we multiply their slope we get -1.

therefore,

`m_1. m_2` =
`(1)/(2)`. (-2) = -1

Therefore they are perpendicular.