Math Problem???

Question

The line y = 0.15x + 0.79 represents an estimate of the average cost of gasoline for each year. The line 0.11x - y = -0.85 estimate 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 1

y = 0.15x + 0.79
0.11x - y = -0.85 => y =0.11x +0.85


a)Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning.

Ans : intersecting
since not // ......diff slopes
m1 = 0.15
m2=0.11

b)Use the equations of the lines to determine if they are parallel. What did you find?

not // since slopes not equal

Answer 2

Rewrite the 2nd equation as y = 0.11x + 0.85.

a) lines intersect because they have different slope: 0.15 for 1st, 0.11 for 2nd.
b) see a

Answer 3

y=.15x+.79
y=.11x-8.5(rearranged equation 2)

a) lines will intersect because the slope(value before x) is different. To be perpendicular, the slopes would have to be reciprocals(one - and one +). ex. +2 and -1/2

b) Not parallel. Slopes would be identical, and the y-intercept would have to be different.