Question

Determine whether the two line are parallel, perpendicular or neither. 2x + y = 3
x - 2y = 4​

Answer 1

Hi,

Explanation:

We are going to calculate the slope of the lines

`2x+y=3 \Longrightarrow\ y=-2x+3 \Longrightarrow\ slope=-2\\\\x-2y=4 \Longrightarrow\ 2y=-x-4 \Longrightarrow\ y=-(x)/(2)-2 \ slope=-(1)/(2)\\\\`

`-2\\eq -(1)/(2) \\\\(-2)*(-(1)/(2))=1 \\eq -1`

The two lines are not parallel and not perpendicular.