SOLUTION: Determine which two equations represent parallel lines. Justify the answer. (a) y = (5/7) x + 3 (b) y =(7/5) x + 5 (c) y = (7/5) x – 5 (d) y = –(5/7) x + 5

Algebra ->  Graphs -> SOLUTION: Determine which two equations represent parallel lines. Justify the answer. (a) y = (5/7) x + 3 (b) y =(7/5) x + 5 (c) y = (7/5) x – 5 (d) y = –(5/7) x + 5       Log On


   

Question 64171: Determine which two equations represent parallel lines. Justify the answer.
(a) y = (5/7) x + 3
(b) y =(7/5) x + 5
(c) y = (7/5) x – 5
(d) y = –(5/7) x + 5
Found 2 solutions by checkley71, Earlsdon:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
THE SLOPE OF A LINE IS THE DETERMINING FACTOR IN IDENTIFYING IF THEY ARE PARALLEL OR PERPENDICULAR.
PARALLEL LINES HAVE THE SAME SLOPE.
THEREFORE B) Y=(7/5)+5 & C) Y=(7/5)-5 ARE PARALLEL

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The equations are already in the slope-intercept form of y+=+mx%2Bb where: m = slope and b = y-intercept.
Recall that parallel lines have identical slopes.
Equations (b) and (c) have identical slopes (m+=+7%2F5), therefore, equations (b) and (c) represent parallel lines.