SOLUTION: On this line y =0.15x+ 0.79 is the representation of the average cost of gas each year. 0.11x -y= -0.85 estimates the price of gas in January of each year. Do these lines expect

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: On this line y =0.15x+ 0.79 is the representation of the average cost of gas each year. 0.11x -y= -0.85 estimates the price of gas in January of each year. Do these lines expect      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 304477: On this line y =0.15x+ 0.79 is the representation of the average cost of gas each year. 0.11x -y= -0.85 estimates the price of gas in January of each year. Do these lines expect to be insecting, parallel, or perpendicular? Use the equation of the lines to determine if they are parallel and what was found? Please advise. Thank you.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
On this line y =0.15x+ 0.79 is the representation of the average cost of gas each year.
0.11x - y = -0.85 estimates the price of gas in January of each year.
convert this equation to the slope intercept form like the 1st equation
-y = -.11x -.85
get rid of all those negatives, multiply by -1
y = .11x + .85
:
Do these lines expect to be intersecting, parallel, or perpendicular?
:
Looking at the slopes: .15 for the 1st equation and .11 for the 2nd, we know
they are not parallel and will intersect at some point. (parallel lines have equal slopes).
:
Graphing these two equations will confirm this:
+graph%28+300%2C+200%2C+-4%2C+6%2C+-1%2C+2%2C+.15x%2B.79%2C+.11x%2B.85%29+
Intersect when x=1.5