Question 1

Given the graph shown, identify the equation of the line that passes through the points $$(-2, 4)$$ and $$(2, -2). $$What is the equation of the line in slope-intercept form?

Accepted Answer

$$y = -1.5x + 1$$

Question 2

Based on the graph, what is the slope of the line that passes through the points $$(-2, 4)$$ and $$(2, -2)$$?

Accepted Answer

$$m = -1.5$$

Question 3

If the line shown in the graph is extended, what is the $$y-$$intercept of the line?

Accepted Answer

$$b = 1$$

Question 4

Which of the following points lies on the line shown in the graph?

Accepted Answer

$$(0, 1)$$

Question 5

What is the equation of the line perpendicular to the one shown in the graph and passing through the point $$(2, -2)$$?

Accepted Answer

$$y = \frac{2}{3}x - \frac{8}{3}$$

Question 6

If the line shown in the graph represents the cost $$y (in $$dollars) to produce $$x$$ units of a product, what is the cost to produce 4 units?

Accepted Answer

$$y = -1.5(4) + 1 = -5$$

Question 7

Which of the following is the correct step to find the slope of the line passing through $$(-2, 4)$$ and $$(2, -2)$$?

Accepted Answer

$$m = \frac{-2 - 4}{2 - (-2)}$$

Question 8

If the line shown in the graph models the temperature $$y (in $$degrees Celsius) as a function of time $$x (in $$hours), what is the temperature after 0 hours?

Accepted Answer

$$y = 1$$

Question 9

Which of the following best describes the relationship between $$x$$ and $$y in $$the equation $$y = -1.5x + 1$$?

Accepted Answer

As $$x$$ increases, $$y$$ decreases.

Question 10

If the line shown in the graph represents the depreciation of a car's value $$y (in $$thousands of dollars) over time $$x (in $$years), what is the value of the car after 2 years?

Accepted Answer

$$y = -1.5(2) + 1 = -2$$

Solving Systems of Linear Equations by Graphing

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