Question 1

Which of the following points is located in Quadrant II of the rectangular coordinate system?

Accepted Answer

$$(-5, 6)$$

Question 2

Given the equation $$y = 4x - 2$$, what is the $$y-$$intercept of the graph?

Accepted Answer

$$(0, -2)$$

Question 3

If the viewing rectangle is defined by $$X_{min} = -10$$, $$X_{max} = 10$$, $$Y_{min} = -10$$, and $$Y_{max} = 10$$, what is the range of $$x-$$values displayed?

Accepted Answer

$$[-10, 10]$$

Question 4

Which equation represents a line with a negative slope?

Accepted Answer

$$y = -4x + 1$$

Question 5

What is the $$x-$$intercept of the line $$y = -2x + 6$$?

Accepted Answer

$$(3, 0)$$

Question 6

A graph shows the percentage of marriages ending in divorce over years after marriage. If the curve rises steeply in the first 5 years and then levels off, what does this indicate?

Accepted Answer

The rate of divorce is highest in the early years and slows down later.

Question 7

Using the point-plotting method, which set of points would you plot for $$y = |x| + 2$$ when $$x$$ ranges from $$-2 to$$ $$2$$?

Accepted Answer

$$(-2, 4), (-1, 3), (0, 2), (1, 3), (2, 4)$$

Question 8

If the $$x-$$scale ($$X_{sel}) is $$set to $$2$$, what does this mean for the graph?

Accepted Answer

Each tick mark on the $$x-$$axis represents 2 units.

Question 9

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

Accepted Answer

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

Question 10

Given the equation $$y = 4x - 2$$, what is the value of $$y$$ when $$x = -3$$?

Accepted Answer

$$y = -14$$

Question 11

Which of the following statements is true about the $$y-$$intercept of a graph?

Accepted Answer

It is the $$y-$$coordinate where the graph crosses the $$y-$$axis.

Question 12

If a line passes through the points $$(0, 2)$$ and $$(2, 6)$$, what is its slope?

Accepted Answer

$$2$$

Question 13

Which of the following is NOT a correct way to plot the equation $$y = 4x - 2$$ using the point-plotting method?

Accepted Answer

Plot random points not on the line and connect them.

Question 14

A graph shows the number of COVID-19 cases over time. If the graph is steep at first and then flattens, what does this suggest about the spread?

Accepted Answer

The rate of new cases is slowing down.

Question 15

If $$Y_{sel} = 2$$, what does this mean for the $$y-$$axis on the graph?

Accepted Answer

Each tick mark on the $$y-$$axis represents 2 units.

Question 16

Which of the following is the correct $$x-$$intercept for the equation $$y = 2x - 4$$?

Accepted Answer

$$(2, 0)$$

Question 17

If a graph only displays points in Quadrant I, which of the following is true about the $$x$$ and $$y$$ values?

Accepted Answer

$$x \u003e 0$$ and $$y \u003e 0$$

Question 18

Which of the following best describes the process of identifying intercepts on a graph?

Accepted Answer

Find where the graph crosses the axes.

Question 19

If the equation $$y = 4x - 2 is $$graphed, which of the following points lies on the line?

Accepted Answer

$$(0, -2)$$

Introduction to the Rectangular Coordinate System and Graphing Linear Equations

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