Parallel Lines

How do you know two lines are parallel?

Determine if any of the sets of lines are parallel. Justify your answer.

Line a passes through (-2, 4) and (3, 14).

Line b passes through (7, 2) and (-1, 3).

Line c passes through (3, 1) and (0, -5).

Line a: y= -13x+4

Line b: 3x-y=7

Line c: 6x + 2y = 12

Write the equation of the line parallel to x+4y = 6 that passes through the point (4, -8).

How do you know two lines are parallel?:

if the lines were to continue forever they would NEVER EVER touch they would just go STRAIGHT like train tracks