Question 1

Which of the following is the correct y-intercept for the equation $$y = -3x + 2$$?

Accepted Answer

$$(0, 2)$$

Question 2

What is the slope of the line given by $$y = -3x + 2$$?

Accepted Answer

$$-3$$

Question 3

If you plot the point $$(1, -1)$$ for the equation $$y = -3x + 2$$, does it lie on the line?

Accepted Answer

Yes, because $$-3(1) + 2 = -1$$

Question 4

Which of the following points is NOT on the line $$y = -3x + 2$$?

Accepted Answer

$$(2, -2)$$

Question 5

What is the x-intercept of the line $$y = -3x + 2$$?

Accepted Answer

$$(\frac{2}{3}, 0)$$

Question 6

If the equation $$y = -3x + 2$$ models the cost $$y (in $$dollars) to produce $$x$$ items, what does the slope represent?

Accepted Answer

The cost decreases by $3 for each additional item produced

Question 7

Which equation is equivalent to $$y = -3x + 2$$ written in standard form $$Ax + By = C$$?

Accepted Answer

$$3x + y = 2$$

Question 8

If the line $$y = -3x + 2$$ represents the temperature $$y (in$$ °C) at hour $$x$$, what is the temperature at hour $$4$$?

Accepted Answer

$$-10$$ °C

Question 9

Which of the following lines is parallel to $$y = -3x + 2$$?

Accepted Answer

$$y = -3x - 5$$

Question 10

A business’s profit $$y is $$modeled by $$y = -3x + 2$$, where $$x is $$the number of months since opening. What does the y-intercept represent in this context?

Accepted Answer

The initial profit at opening is $2

Question 11

If you reflect the line $$y = -3x + 2$$ over the y-axis, what is the equation of the new line?

Accepted Answer

$$y = 3x + 2$$

Question 12

Which of the following best describes the graph of $$y = -3x + 2$$?

Accepted Answer

A line that slopes downward from left to right

Guidance for Graphing Linear Equations by Plotting Points

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