Line a passes through (-1,1) and (1,3).Line b passes through (3,4) and (0,2).Line c passes through (0,1) and (3,3). Which lines, if any, are parallel.

[Brainly somehow saw inappropriate language and blocked posting my original answer. I can't find the problem, so am randomly altering words. I hope it is still useful]

See attachments. Find the slopes for the three Lines as per the attached image. Slopes are the Rise/Run, calculated for the given points for each line. The y-intercept, b, is calculated by using the slope and one of the points for each line with: b = y - mx.

We see that the slopes of lines B and C are both (2/3). Parallel Lines have the same slope, so B and C are parallel. A, with a slope of 1, is not parallel.

So we have the answer to the question, without the need for calculating b. But in the spirit of making a graph to prove the point, b is calculated and the three equations are graphed in the second attachment. Note that Lines B (Red) and C (Blue/Green) are parallel. A is not parallel.