Question

Determine if the equations represent lines that are parallel, perpendicular, or neither.

Answer 1

parallel

Explanation:

Answer 2

lines are parallel and m = 7

Explanation:

The equation of a line in slope- intercept form is

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

14x = 2y - 6 or

2y - 6 = 14x ( add 6 to both sides )

2y = 14x + 6 ( divide through by 2 )

y = 7x + 3 ← in slope- intercept form

with slope m = 7

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`(8)/(7)` = y - 7x or

y - 7x =
`(8)/(7)` ( add 7x to both sides )

y = 7x +
`(8)/(7)` ← in slope- intercept form

with slope m = 7

Since slopes of both lines are equal, both m = 7 then lines are parallel