Slope-Intercept Form

Question 1

Determine the x- and y- intercepts for the graph defined by the given equation.y = -8

Revolt · Accepted Answer

No x-intercepty-intercept is (0, -8)

Question 2

Determine the x-intercept of the line whose equation is given: a. b. c. d. Please select the best answer from the choices provided

Revolt · Accepted Answer

A

Question 3

State the practical meaning of the slope and y-intercept for the situation described. The population, in millions, of a city t years after 1990 is given by.

Revolt · Accepted Answer

3.1 million is the population of the city in 1990 and 0.07 million is the increase per year in the population.

Question 4

A plane is on its approach to land on the runway. The jet’s height above the ground is given in feet as a function of the time in seconds. The following table tracks the plane as it lands: t (in seconds) h (in feet) 0 4000 5 3500 10 3000 15 2500 20 2000 25 1500 Determine where the graph crosses the h-axis. Then write the equation in slope-intercept form.

Revolt · Accepted Answer

(0, 4000);

Question 5

A plane is on its approach to land on the runway. The jet’s height above the ground is given in feet as a function of the time in seconds. The following table tracks the plane as it lands: t (in seconds) h (in feet) 0 4000 5 3500 10 3000 15 2500 20 2000 25 1500 Calculate the slope. Use the formula . What is the significance of the sign of the slope?

Revolt · Accepted Answer

The plane is losing altitude.

Question 6

Consider the following equations: Discuss the similarities and difference in the graphs of these equations. (Use a graphing calculator if needed.)

Revolt · Accepted Answer

Different slopes; same y-intercepts

Question 7

Consider the following equations: Discuss the similarities and differences of the graphs of these equations. (Use a graphing calculator if you have one.)

Revolt · Accepted Answer

Same slopes; different y-intercepts

Question 8

Determine the x-intercept of the line whose equation is given: a. b. c. d. Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 9

State the practical meaning of the slope and y-intercept for the situation described.The cost, in dollars, of cellular phone service with Econo-phone is given by C = 0.18x + 14.55, where x is the number of minutes used in one month.

Revolt · Accepted Answer

0.18 signifies the cost per minute, and 14.55 signifies the monthly service charge.

Question 10

A plane is on its approach to land on the runway. The jet’s height above the ground is given in feet as a function of the time in seconds. The following table tracks the plane as it lands: t (in seconds) h (in feet) 0 4000 5 3500 10 3000 15 2500 20 2000 25 1500 Is this function linear? If it is, what is the slope? Use the formula .

Revolt · Accepted Answer

Yes, this function is linear; the slope is -100 feet/second.

Slope-Intercept Form Answers

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