SOLUTION: y=0.15+0.79 represents the cost of gasoline each year, the line 0.11x-y=-0.85 estimates the cost of gasoline in Janurary of each year. Would the lines be parallel or perpendicular

Algebra ->  Equations -> SOLUTION: y=0.15+0.79 represents the cost of gasoline each year, the line 0.11x-y=-0.85 estimates the cost of gasoline in Janurary of each year. Would the lines be parallel or perpendicular       Log On


   

Question 307409: y=0.15+0.79 represents the cost of gasoline each year, the line 0.11x-y=-0.85 estimates the cost of gasoline in Janurary of each year. Would the lines be parallel or perpendicular and explain.
Found 2 solutions by rapaljer, jollypgred:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean y=0.15x+.79?

If so, then the lines are NOT perpendicular or parallel.

The other line is 0.11x-y=-0.85. If you solve for y in this other equation, you get y=0.11x+ 0.85. The slopes of the lines are 0.15 and 0.11. The slopes are NOT the same, so they are NOT parallel. The slopes are NOT the negative reciprocal of one another, so they are NOT parallel.

Dr. Robert J. Rapalje, Retired

Answer by jollypgred(3) About Me  (Show Source):
You can put this solution on YOUR website!
The lines would be perpendicular because the line that represents the cost of gasoline in January when re-written into y=mx+b form is a negative slope. The negative slope and the fact that the slope mx are not equal in both lines, the lines will be parallel.