Chapter 5

Write an equation of the line that passes through the points. (5,1),(3,-6)

Write an equation in standard form of the line that passes through the two points. $$(0,0),(2,0)$$

Write an equation in slope-intercept form of the line that passes through the point and has the given slope. $$ (-3,7), m=7 $$

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ y+2 x=2 $$

The cost of a taxi ride is an initial fee plus \(\$ 1.50\) for each mile. Your fare for 9 miles is \(\$ 15.50 .\) How much is the initial fee?

Write an equation of the line that passes through the points. (0,-6),(-1,7)

Write an equation in standard form of the line that passes through the two points. $$(4,-7),(5,-1)$$

Write an equation in slope-intercept form of the line that passes through the point and has the given slope. $$ (8,2), m=7 $$

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ 3 x-y=-5 $$

After 6 weeks on a fitness program, Greg jogs 35 miles per week. His average mileage gain has been 2 miles per week. a. Write an equation that models Greg's weekly mileage \(m\) in terms of the number of weeks \(n\) that he stays on the program. b. When will Greg jog over 45 miles per week? c. Writing According to the equation, what will be Greg's weekly mileage after 52 weeks? Do you think this is realistic? Explain.

Write an equation in slope-intercept form of the line that passes through the point and has the given slope. $$ (8,4), m=-5 $$

Write the point-slope form of the equation of the line that passes through the two points. $$ (1,3),(2,5) $$

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ -2 y-3 x=6 $$

You are comparing the costs of car rental agencies for a one-day car rental. Car Rental Agency A charges \(\$ 30\) a day plus \(\$ . \overline{08}\) per mile. Car Rental Agency B charges a flat fee of \(\$ 40\) a day. a. Write an equation in slope-intercept form that models the cost of renting a car from each car rental agency. b. Use a graphing calculator to graph the two equations on the same coordinate plane. c. Under what conditions would the cost of renting a car from either rental agency be the same? d. Under what conditions would the cost of renting a car from Car Rental Agency A be the best deal? Under what conditions would it be cheaper for you to rent a car from Car Rental Agency B?

Write an equation in slope-intercept form of the line that passes through the point and has the given slope. $$ (3,1), m=7 $$

Write the point-slope form of the equation of the line that passes through the two points. $$ (-2,3),(2,-5) $$

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ 4 x+2 y=6 $$

Use a calculator to evaluate $$.5^{7}$$

Write an equation in slope-intercept form of the line that passes through the point and has the given slope. $$ (-8,7), m=2 $$

Write the point-slope form of the equation of the line that passes through the two points. $$ (7,-10),(15,-22) $$

Use the following information. At sea level, the speed of sound in air is linearly related to the air temperature. If it is \(35^{\circ} \mathrm{C},\) sound will travel at a rate of 352 meters per second. If it is \(15^{\circ} \mathrm{C}\) sound will travel at a rate of 340 meters per second. Write a linear equation that models speed of sound \(s\) in terms of air temperature \(T\).

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ 4 y+12 x=16 $$

Use a calculator to evaluate $$8^{5}$$

Write an equation in standard form of the horizontal line and the vertical line that pass through the point. $$(1,3)$$

At nine days old, a flight feather of a night heron is 17 millimeters. At 30 days, the flight feather is 150 millimeters. Write a linear model that gives feather length \(f\) in terms of age \(a\).

Write the point-slope form of the equation of the line that passes through the two points. $$ (2,6),(5,1) $$

Use the following information. At sea level, the speed of sound in air is linearly related to the air temperature. If it is \(35^{\circ} \mathrm{C},\) sound will travel at a rate of 352 meters per second. If it is \(15^{\circ} \mathrm{C}\) sound will travel at a rate of 340 meters per second. How fast will sound travel at sea level if it is \(25^{\circ} \mathrm{C}\) outside?

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ 25 x-5 y=30 $$

Use a calculator to evaluate $$9^{6}$$

Write an equation in standard form of the horizontal line and the vertical line that pass through the point. $$(-4,4)$$

Write the point-slope form of the equation of the line that passes through the two points. $$ (-3,-4),(1,-1) $$

Use the following information. At sea level, the speed of sound in air is linearly related to the air temperature. If it is \(35^{\circ} \mathrm{C},\) sound will travel at a rate of 352 meters per second. If it is \(15^{\circ} \mathrm{C}\) sound will travel at a rate of 340 meters per second. If sound travels at a rate of 346 meters per second at sea level, what is the temperature?

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ x+3 y=15 $$

Use a calculator to evaluate $$3^{12}$$

Write an equation in standard form of the horizontal line and the vertical line that pass through the point. $$(-2,-5)$$

Write the point-slope form of the equation of the line that passes through the two points. $$ (4,-2),(-9,5) $$

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ x+6 y=12 $$

Use a calculator to evaluate $$2^{8}$$

Write an equation in standard form of the horizontal line and the vertical line that pass through the point. $$(6,-1)$$

Exercises \(57-59\), you are going on a trip to the Natural History Museum. At 9:00 A.M., you leave for the museum, which is 120 miles away. At 10: 15 A.M., you are 63 miles away from the museum. Write a linear equation that gives the distance \(d\) (in miles) from the museum in terms of the time \(t .\) Let \(t\) represent the number of minutes since 9: 00 A.M.

Use the following information. You yell across a canyon. Your sound travels at a rate of 343 meters per second. After you shout, it takes 4 seconds to hear your echo. How far are you from the canyon wall?

Find the slope and the \(y\) -intercept of the graph of the equation. Then graph the equation. $$ x-y=10 $$

Use a calculator to evaluate $$4^{3}$$

Exercises \(57-59\), you are going on a trip to the Natural History Museum. At 9:00 A.M., you leave for the museum, which is 120 miles away. At 10: 15 A.M., you are 63 miles away from the museum. Find the distance you are from the museum after you have traveled 2 hours.

What is the equation of the line that passes through the points \((7,4)\) and \((-5,-2) ?\) (A) \(y=\frac{1}{2} x-\frac{1}{2}\) (B) \(y=-\frac{1}{2} x+\frac{1}{2}\) (c) \(y=-\frac{1}{2} x-\frac{1}{2}\) (D) \(y=\frac{1}{2} x+\frac{1}{2}\)

Use a calculator to evaluate $$8^{4}$$

Write an equation in standard form of the horizontal line and the vertical line that pass through the point. $$(-9,0)$$

Exercises \(57-59\), you are going on a trip to the Natural History Museum. At 9:00 A.M., you leave for the museum, which is 120 miles away. At 10: 15 A.M., you are 63 miles away from the museum. According to your equation, when will you reach the museum?

Use a calculator to evaluate $$10^{4}$$

Write an equation in standard form of the horizontal line and the vertical line that pass through the point. $$(-3,7)$$