Are these correct with the lines
The line represents an estimate of the average cost of gasoline for each year. The line estimates the price of gasoline in January of each year (Bureau of Labor Statistics, 2006).
a)Do you expect the lines to be intersecting, parallel, or perpendicular? Explain your reasoning. I found that the lines are parallel
b)Use the equations of the lines to determine if they are parallel. What did you find?I found that the lines are parallel
c)Did your answer to part b confirm your expectation in part a?yes

  1. 👍 0
  2. 👎 0
  3. 👁 263
  1. The general formula for a straight line is
    y = mx + b where m is the slope. Two lines must have the same slope if they are to be parallel.
    In your first equation m = 0.15 (the coefficient of x is m).
    Your second equation is
    0.11x - y = -0.85 and rearranging we get
    -y = -0.11x - 0.85 and multiply through by -1 gives
    y = 0.11x + 0.85.
    Check my work.
    The slope in the second equation is 0.11 which isn't the same as m in equation #1; therefore, they can't be parallel.
    To be perpendicular, the m values must be the negative reciprocal of each other (or said another way the product of the m values is -1). They are not so they can't be perpendicular. The only thing left is for them to intersect.

    1. 👍 0
    2. 👎 0
  2. can someone please explain this question in more detail. I still do not get this.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. geometry

    What is the equation of the line that passes through the given point and is perpendicular to the given line? Point: (1,1) Line: y=15x+45 1.y=−5x+6 2.y=−5x+45 3.y=15x−15 4.y=−5x−54

    asked by n on January 8, 2020
  2. Geometry

    Examine the two distinct lines defined by the following two equations in slope-intercept form. line ℓ: y=34x+6 line k: y=34x−7 Are lines ℓ and k parallel? Justify your response. 1.Yes, lines ℓ and k are parallel because

    asked by Anonymous on June 9, 2020
  3. Math

    Use the following lines to answer the question. line g: y=−45x+75 line h: y=54x+34 Is line g Perpendicular to line h? Why or why not? A: Yes, because the slopes of lines g and h and are opposite and reciprocal. B: Yes, because

    asked by Trent on December 16, 2019
  4. English

    1.Under a spreading chestnut tree 2.The village smithy stands; 3.The smith, a mighty man is he, 4.With large and sinewy hands; 5.And the muscles of his brawny arms 6.Are strong as iron bands. 7.His hair is crisp, and black, and

    asked by help please ;-; on March 8, 2018
  5. math pls help!!!!!

    these are the few i don't know/im not sure. pls help! The distance from Newtown to Oldtown on the highway is (6x^2 + 2x – 2) miles. Using the back roads, the distance is (5x^2 – 8x – 6) miles. How many miles shorter is the

    asked by zumai on May 31, 2014
  1. Physics

    Which of the following statements about emission spectra is correct? All the lines are evenly spaced. All noble gases have the same spectra. Each line corresponds to a series of wavelengths. All the lines result from discrete

    asked by physics student on February 11, 2013
  2. maths - geometry -yr11

    HI guys. find the equations of the lines represented by 4x^2 - 5xy - 6y^2 + 11x + 11y - 3 = 0 I am lost. What two lines are they asking for? And is there a general formula/appraoch to simplifying the duel equation with powers to

    asked by mike on June 19, 2008
  3. math

    19. Which statement describes the relationship between the line graphs of the equations below? y=-2x+4 y=0.5x+4 A.The line graph are the same line. B.The line graph are parallel lines. C.The line graph are perpendicular lines.

    asked by vincent on August 14, 2014

    A consistent system of equations is a system with __________. the same line parallel lines intersecting lines and lines that have the same slope intersecting lines and lines that have the same equation

    asked by Oscar on September 10, 2015
  5. Language

    which statement describes the translation form of a haiku poem? A. A three line poem with seven syllables in the first and third lines and five syllables in the middle line.•• B. A nine line poem with five syllable in odd

    asked by Vanessa on February 1, 2016
  6. English

    from "SILKWEED" by Philip Henry Savage 1 Softly, as if instinct with thought, 2 They float and drift, delay and turn; 3 And one avoids and one is caught, 4 Between an oak-leaf and a fern. _______________________________ use the

    asked by i'm lazy and so are you on April 6, 2019

You can view more similar questions or ask a new question.