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).