the line y=0.16x +0.84 represents an estimate of the average cost of gasoline for each year. the line
0.14x-y=0.95 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 equation of the lines that determine if they are parllel. what did you find?
c) did your answer to part b confirm your expection in part a
a)
Find the slope of the average cost (0.16).
Transform the equation for the price to
y=0.14x-0.95
from which the slope can be found.
If the slopes are different, the two lines will intersect.
If the product of the two slopes is -1, the two lines are perpendicular.
b) see a) above.
c) see a) above.