Parallel Lines

Parallel Lines

Two lines are parallel if their slopes are equal.

Parallel Lines

Two lines are parallel if the respective coefficients of x and y are proportional.

Parallel Lines

Two lines are parallel if their directional vectors are equal.

Parallel Lines

Two lines are parallel if the angle between them is 0º.

Parallel Line Calculations


Examples

Calculate k so that the lines r ≡ x + 2y − 3 = 0 and s ≡ x − ky + 4 = 0, are parallel.

Parallel Line Calculations

Parallel Line Solution


Determine the equation for the line parallel to r ≡ x + 2 y + 3 = 0 that passes through the point A = (3, 5).

Parallel Line Example

Parallel Line Calculations

Parallel Line Calculations

Parallel Line Solution


Determine the equation for the line parallel to r ≡ 3x + 2y − 4 = 0 that passes through the point A = (2, 3).

3 · 2 + 2· 3 + k = 0 k = −12

3x + 2y − 12= 0


The line r ≡ 3x + ny − 7 = 0 passes through the point A = (3, 2) and is parallel to the line s ≡ mx + 2y − 13 = 0. Calculate the values of m and n.

Parallel Line

Parallel Line Calculations

Parallel Lines

Parallel Line Solution