Question 1

Which of the following best describes the origin on the rectangular coordinate system?

Accepted Answer

The point where $$x = 0$$ and $$y = 0$$

Question 2

If a point has coordinates $$(-4, 5)$$, in which quadrant does it lie?

Accepted Answer

Quadrant II

Question 3

Which axis is horizontal on the rectangular coordinate plane?

Accepted Answer

The $$x-$$axis

Question 4

Given the point $$P(0, -7)$$, where is it located on the coordinate plane?

Accepted Answer

On the $$y-$$axis below the origin

Question 5

Which of the following points is located in Quadrant IV?

Accepted Answer

$$(3, -5)$$

Question 6

A medical researcher plots the number of patients ($$x) $$and their recovery time in days ($$y) on a $$rectangular coordinate system. If a data point is $$(5, 10)$$, what does this represent?

Accepted Answer

10 days of recovery for 5 patients

Question 7

Which statement is true about the ordered pair $$(x, y)$$?

Accepted Answer

$$x$$ represents the horizontal position, $$y$$ the vertical position

Question 8

A point is located at $$(-6, -2). $$Which quadrant does it belong to?

Accepted Answer

Quadrant III

Question 9

If you move 3 units to the right and 4 units up from the origin, what are the coordinates of your new position?

Accepted Answer

$$(3, 4)$$

Question 10

Which of the following best describes the process of plotting a point $$(x, y)$$?

Accepted Answer

Move $$x$$ units right (or left), then $$y$$ units up (or down)

Question 11

A chemist records the temperature ($$y) at $$different times ($$x) $$during a reaction. If the point $$(2, -5) is $$plotted, what does the $$-5$$ represent?

Accepted Answer

A temperature of $$-5 at $$time $$2$$

Question 12

Which quadrant contains points where $$x  0$$?

Accepted Answer

Quadrant II

Question 13

If a point is located at $$(0, y)$$ where $$y 
eq 0$$, where is it on the coordinate plane?

Accepted Answer

On the $$y-$$axis

Question 14

A city planner uses the coordinate plane to map locations. If the city center is at $$(0, 0)$$ and a park is at $$(-3, 4)$$, in which quadrant is the park located?

Accepted Answer

Quadrant II

Question 15

Which of the following points is NOT in Quadrant I?

Accepted Answer

$$(0, 5)$$

Question 16

If a point is in Quadrant III, which of the following must be true?

Accepted Answer

$$x \u003c 0$$ and $$y \u003c 0$$

Question 17

A biologist tracks the population of a species over time. If the population decreases, which direction does the point move on the $$y-$$axis?

Accepted Answer

Down

Question 18

Which of the following is the correct way to describe the location of the point $$(-5, 0)$$?

Accepted Answer

On the $$x-$$axis

Question 19

If you plot the points $$A(2, 3)$$, $$B(-2, 3)$$, $$C(-2, -3)$$, and $$D(2, -3)$$, which point is in Quadrant IV?

Accepted Answer

$$D(2, -3)$$

Question 20

A student moves from the origin $$(0, 0) to$$ $$(-4, -5). $$Which quadrant did the student end up in?

Accepted Answer

Quadrant III

Graphs and the Rectangular Coordinate System: College Algebra Study Notes

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