Formulas & tables/Mathematics/Analytic geometry/Condition for parallel lines

Condition for parallel lines

a1=a2a_1=a_2

Result unit: — (warunek)

What it describes

Two lines are parallel when they have equal slopes.

Symbols

a1,a2a_1, a_2
slopes of the lines

Where it comes from

Parallel lines have the same slope — they never intersect (or they coincide).

When to use it

Determining the relative position of lines; finding a parallel line.

Example

Line y=2x+1y=2x+1. Give the slope of a line parallel to it.
Substitutiona1=2a_1=2.
Resulta2=2a_2=2.

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