Question

The equations below are. parallel perpendicular or neither​

Answer 1

b

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange both equations into this form

x - 6y = - 30 (subtract x from both sides )

- 6y = - x - 30 ( divide all terms by - 6 )

y =
`(1)/(6)` x + 5 ← in slope- intercept form

with slope m =
`(1)/(6)`

y = - 6x + 5 ← in slope- intercept form

with slope m = - 6

Parallel lines have equal slopes.

Clearly the lines are not parallel.

The product of the slope of perpendicular lines equals - 1, thus

`(1)/(6)` × - 6 = - 1

Hence the lines are perpendicular → b