Question

Need help on this question please

indicate whether the lines are parallel, perpendicular, or neither justify your answer.


5x+6y=18 and 2x+14y=21

Answer 1

the lines are neither parallel nor perpendicular

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 and compare their slopes.

If slopes are equal then they are parallel.

If slopes are the negative inverse of each other then perpendicular.

5x + 6y = 18 ( subtract 5x from both sides )

6y = - 5x + 18 ( divide all terms by 6 )

y = -
`(5)/(6)` + 3

with m = -
`(5)/(6)`

2x + 14y = 21 ( subtract 2x from both sides )

14y = - 2x + 21 ( divide all terms by 14 )

y = -
`(1)/(7)` +
`(3)/(2)`

with m = -
`(1)/(7)`

Since slopes are neither equal nor negative inverses, then they are neither parallel nor perpendicular.