Lesson 6 Skills Practice Lesson 6 Homework Practice

NAME ____________________________________________ DATE ____________________________ PERIOD _____________

Lesson 6 Skills Practice

Equations in y = mx + b Form

Write an equation of a line in slope-intercept form with the given slope and y-intercept.

1. slope: 1, y-intercept: 4

2. slope: 2, y-intercept: ?2

3. slope: 3, y-intercept: ?1

4. slope: ?1, y-intercept: 3 7. slope: 2, y-intercept: ?1

5. slope: ?5, y-intercept:

! "

8. slope: ?4; y-intercept: 2

6. slope: ? !$, y-intercept: 4

9. slope:

$,

"

y-intercept:

?3

Write an equation in slope-intercept form for each graph shown.

10.

11.

12.

Graph each equation using the slope and the y-intercept.

13. y = 4x ? 2

14.

y

=

?

$ "

%

+

1

15. y = "$x ? 3

NAME ____________________________________________ DATE ____________________________ PERIOD _____________

Lesson 6 Homework Practice

Equations in y = mx + b Form

Write an equation of a line in slope-intercept form with the given slope and y-intercept.

1. slope:4; y-intercept: 1

2. slope: -3; y-intercept: 5

3. slope: !"; y-intercept: -3

Write an equation in slope-intercept form for each table.

4. x 0 6 12 18 y -3 2 7 12

5. x -4 -2 0 2 y 5 -1 -7 -13

6. x 0 5 10 15 y23 4 5

Write an equation in slope-intercept form for each graph shown.

7.

8.

9.

10. The entrance fee to the national park is $15. A campsite fee is $15 per night. The total cost y for a camping trip for x nights can be represented by the equation y = 15x + 15.

a. Graph the equation.

b. Interpret the slope and the y-intercept.

Course 3 ? Chapter 3 Proportional Relationships and Slope

Course 3 ? Chapter 3 Proportional Relationships and Slope

NAME ____________________________________________ DATE ____________________________ PERIOD _____________

Lesson 6 Problem-Solving Practice

Equations in y = mx + b Form

For Exercises 1 and 2, use the following information. Ace Car Rentals charges $20 per day plus a $10 service charge to rent one of its compact cars. The total cost can be represented by the equation y = 20x + 10, where x is the number of days and y is the total cost.

1. Graph the equation. What do the slope and yintercept represent?

2. Explain how to use your graph to determine the total cost of renting a compact car for 7 days. Then determine this cost.

For Exercises 3 and 4, use the following information. Thomas is driving from Oak Ridge to Lakeview, a

distance of 300 miles. He drives at a constant 60 miles per hour. The equation for the distance yet to go is y = 300 ? 60x, where x is the number of hours since he left.

3. What is the slope and y-intercept? Explain how to 4. Explain how to determine the total travel time. use the slope and y-intercept to graph the equation. Then determine this time. Then graph the equation.

NAME ____________________________________________ DATE ____________________________ PERIOD _____________

Lesson 6 Extra Practice

Equations in y = mx + b Form

Write an equation of a line in slope-intercept form with the given slope and y-intercept.

1. slope: 3; y-intercept: -5

2. slope: 2; y-intercept: -6

3.

slope:

-6;

y-intercept:

1 2

4.

slope:

-7;

y-intercept:

5 2

5. slope: 21; y-intercept: 7

6. slope: 34; y-intercept: -8

Write an equation in slope-intercept form for each table.

7. x 0 3 6 9

8. x -7 0 7 14

y 5 7 9 11

y 1 -1 -3 -5

Write an equation in slope-intercept form for each graph shown.

10.

11.

9. x -2 0 2 4 y 12 6 0 -6

12.

5. The equation y = 0.2x + 3.5 can be used to

6. Janette's weekly salary can be represented by the

13.

determine the amount of accumulated snow y in

equation y = 500 + 0.4x, where x is the dollar total

inches x hours after 5 P.M. on a certain day.

of her sales for the week. Identify the slope and y-

Identify the slope and y- intercept of the graph of

intercept of the graph of the equation and explain

the equation and explain what each represents.

what each represents.

Course 3 ? Chapter 3 Proportional Relationships and Slope

14.

15.

Course 3 ? Chapter 3 Proportional Relationships and Slope

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