MATH Rectangular Coordinate System in Graphs Questions

Assignment Description: Graphs
Reflect upon “Graphs”, answer the following questions (be sure to detail how you arrived at your answer):

  1. Is the point (−3, 0) on the x-axis or y-axis? How do you know?
  2. Explain in words how you plot the point (4, −2) in a rectangular coordinate system.
  3. How do you determine if an ordered pair is a solution to a given equation?
  4. Is the point (0, 8) on the x-axis or y-axis? How do you know?
  5. What is the difference between the equations of a vertical and a horizontal line?
  6. Ozzie filled up the gas tank of his truck and headed out on a road trip. The x- axis on the graph below shows the number of miles Ozzie drove since filling up. The y- axis represents the number of gallons of gas in the truck’s gas tank.

    1. Find the x- and y- intercepts
    2. Explain what the x- and y- intercepts mean for Ozzie.
  7. What does the sign of the slope tell you about a line?
  8. Are all horizontal lines parallel? Explain your reasoning.

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