Line Plots and the Coordinate Plane

Use the graph to give the coordinate pairs of the points marked on the line.

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Using this rule, generate three more points that would be on this line but lie beyond the portion of the coordinate plane that is pictured.

Carly and Ramil are planning a treasure hunt. They decide to place a treasure at a point that is a distance of 7 units from the x-axis and 3 units from the y-axis. Ramil places a treasure at point R, and Carly places one at point C. Who put the treasure in the right place? Explain how you know.

• Ramil

• Carly

Jerome plots points S and T in the coordinate plane. The x-coordinate of point S is the opposite of the x-coordinate of point T. The y-coordinates of points S and T are the same. Determine whether each statement about the points is true or false. Which ones are TRUE.

• A

• B

• C

• D

• E

Variables a and b represent positive numbers. Luciana plots points P with coordinates (-a, -b) in the coordinate plane. She reflects that point across the x-axis. In which quadrant is the reflection of point P in the coordinate plane?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Carrie wants to plot point K at (-3, 9) and point L at (6, -1) in the coordinate plane. How should Carrie plot these points in the coordinate plane?

To plot point K, Carrie should start at the origin and move 3 units ​ (a)   and then 9 units ​ (b)   . To plot point L, Carrie should start at the origin and move 6 units ​ (c)   and then 1 unit ​ (d)   .

• left

• up

• right

• down

The table shows the coordinates for three points. Which coordinate plane shows the points from the table plotted correctly?

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The coordinate plane below represents where Matt plants two trees in his yard. Each unit in this coordinate plane represents 1 m. Which expression represents the distance, in meters, between Matt’s trees?

• 1 + 4

• -4 + -4

• |-4| + |-4|

• |1| + |-4|

Four students set up science fair displays in the school gym, as represented in the coordinate plane below. Each unit in this coordinate plane represents 1 yard. Select which ones are YES.

• The distance from Roma's display to Pete's display is 6 yards.

• The distance in yards between Allison's display and Dionte's display is equal to |5| + |5|.

• Pete's display is the same distance from Allison's display as it is from Roma's display.

• If Roma moves her display 1 yard closer to Pete's display, the distance between Roma's and Dionte's displays will be 8 yards.

Akua is making a pagne, which is a cut of cloth with a very colorful pattern. Akua plans out a polygon design for a pagne. The coordinate plane shows the polygon. The units in the coordinate plane are measured in centimeters. What is the area of the polygon in square centimeters?

Mathematical Equivalence

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