Which pair of equations below represents two lines that are not parallel?

Select one:

a.
y = 2x + 8 and y = 2x + 8


b.
y = ( 1 / 6 ) x + 1 /2 and y = (1 / 6 ) x + 2


c.
y = ( 1 / 6 ) x + 8 and y = 6x + 4


d.
y = ( 1 / 2 ) x + 9 and y = ( 1 / 2) x + 4

Respuesta :

The pair of equations (c) y = (1 / 6) x + 8 and y = 6x + 4 are not parallel

How to determine the pair of equations?

A linear equation is represented as:

y = mx + b

Where m is the slope of the line

Two lines are said to be parallel if their slopes are the same

i.e. y = mx + b and y = mx + c

Using the above as a guide, the option (c) represents lines that are not parallel, because they do not have the same slope

Hence, y = (1 / 6) x + 8 and y = 6x + 4 are not parallel

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