Question

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

Answer 1

Therefore they are perpendicular.

Step-by-step 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

$\Leftrightarrow y =\frac{1}{2} x -9$............(1)

and 2x + y = 6

⇔y = -2x +6 ............(2)

Therefore the slope of equation (1) is$(m_1)$= $\frac{1}{2}$

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

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

therefore,

$m_1. m_2$ =$\frac{1}{2}$. (-2) = -1

Therefore they are perpendicular.