Need on this question
indicate whether the lines are parallel, perpendicular, or neither justify your answer.
5x+6y=18 and 2x+14y=21

the lines are neither parallel nor perpendicular

Step-by-step 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 = - + 3

with m = -

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

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

y = - +

with m = -

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

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step-by-step explanation:

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