# What is the parrallel equation to y=5x+11 ?

Is an equation parrallel If it has a negative gradient for instance : y=-5x + 11 is parrallel to y=5x+11

### 8 Answers

- DavidLv 71 month agoFavorite Answer
The given equations are not parallel because their slopes are -5 and 5.

A parallel equation to y = 5x+11 for example could be y = 5x+13 whereas their slopes are the same but with different y intercepts.

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- PinkgreenLv 71 month ago
The family of straight lines // to y=5x+11 is

y=5x+b, where b belongs to R.

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- PhilipLv 61 month ago
The concept of a ''parallel equation'' does not exist in mathematics.

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- lenpol7Lv 71 month ago
NO For parallel lines the gradient is the same value, only the constant changes.

So a parallel line is y = 5x + 3

Agreed '5x' is a negative gradient, but it is NOT perpendicular.

- PinkgreenLv 71 month agoReport
-5 is a negative gradient, not 5x.

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- az_lenderLv 71 month ago
No. Any equation parallel to y = 5x + 11

will have the SAME gradient, for example,

y = 5x - 8, or

3y - 15x = 4 2/3.

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- billrussell42Lv 71 month ago
equations are not parallel, lines are.

two lines are parallel if they have the same slope

y = +5x+11 slope = +5

y = –5x+11 slope = –5

they are not parallel

a line parallel to

y = +5x+11

is

y = +5x+k

where k can have any value

It was properer to say: " k be any real value " .

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- Wayne DeguManLv 71 month ago
A line parallel to y = 5x + 11 will have the same gradient.

i.e. y = 5x + c....where c can be any value

:)>

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- PopeLv 71 month ago
No. In the x-y plane, two lines are parallel only if they have the same gradient or if they are both vertical. In this particular case the lines meet at (0, 11) and at no other point.

It was clearer to say: y=-5x+11 & y=5x+11 met at (0, 11).

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