Question

Is, x+ 2y=2 and 6x-3y=211 parallel lines, perpendicular, or neither

Answer 1

Perpendicular

Explanation:

1. turn both equation in the form of y=mx+c

x+2y=2

2y=2-x

y=1
`-(1)/(2)` (the gradient for this equation is
`-(1)/(2)`

6x-3y=211

-3y=-6x+211

y=2x
`-(211)/(3)` (the gradient for this equation is 2)

therefore, it is perpendicular because when you multiply both the gradient it is -1 (in addition the reciprocal of 2 is
`-(1)/(2)` and the reciprocal for
`-(1)/(2)` is 2 therefore they are perpendicular)