# 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

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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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• The family of straight lines // to y=5x+11 is

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

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• The concept of a ''parallel equation'' does not exist in mathematics.

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• 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.

• Pinkgreen
Lv 7
1 month agoReport

-5 is a negative gradient, not 5x.

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• 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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• 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

• Pinkgreen
Lv 7
1 month agoReport

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

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• 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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• 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.

• Pinkgreen
Lv 7
1 month agoReport

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

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