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Question 478719: The line y=0.12x+0.76 represents an estimate of the average cost of gasoline for each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year
a)Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.
b)Use the equations of the lines to determine if they are parallel. What did you find?
c)Did your answer to part b confirm your expectation in part a?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The line y=0.12x+0.76 represents an estimate of the average cost of gasoline for each year.
The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year.
:
The first equation is in the slope/intercept form; y = mx + b
y = .12x + .76
Put the 2nd equation in the slope/intercept form also
.11x - y = -.085
.11x + .085 = y
or
y = .11x + .085
:
a)Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.
The slope of the first equation is .12; the 2nd equation is .11, therefore
they are not parallel, and will intersect
:
b)Use the equations of the lines to determine if they are parallel.
What did you find?
parallel lines have the same slope, these don't
:
c)Did your answer to part b confirm your expectation in part a?
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