Exploring Slope-Intercept Form and Graphing Lines

A car rental company charges $30 for the first day and $20 for each additional day. If you rent a car for 3 days and another for 5 days, write the equation in slope-intercept form that represents the total cost based on the number of days rented. What is the slope and y-intercept?

• Slope: 15, Y-intercept: 5

• Slope: 25, Y-intercept: 20

• Slope: 30, Y-intercept: 0

• Slope: 20, Y-intercept: 10

Two friends are walking in a park. Friend A starts at the point (1, 2) and walks to (4, 8). Write the equation of the line in slope-intercept form that represents Friend A's path. What is the slope of the line?

• y = 2x, slope = 2

• y = x + 2, slope = 1

• y = 4x - 2, slope = 4

• y = 3x + 1, slope = 3

A delivery service charges a flat fee of $15 plus $2 per mile. If the total cost for a delivery of 10 miles is calculated, write the equation in slope-intercept form. How would you graph this equation?

• C = 2m + 15

• C = 2m - 15

• C = 15m + 2

• C = 10m + 15

Tags

CCSS.8.EE.B.5

A gardener plants flowers in a straight line. The first flower is planted at (0, 1) and the second at (5, 6). Write the equation of the line in slope-intercept form that represents the height of the flowers over distance. What is the y-intercept?

• y = -x + 1; y-intercept = 1

• y = 2x + 1; y-intercept = 2

• y = 3x + 1; y-intercept = 1

• y = x + 1; y-intercept = 1

A bike shop sells bikes for $150 each and offers a discount of $20 for every bike purchased after the first. If you buy 3 bikes, write the equation in slope-intercept form for the total cost based on the number of bikes purchased. How would you graph this?

• Total Cost = 150x

• Total Cost = 120x + 20

• Total Cost = 130x + 20

• Total Cost = 130x + 150

A student scores 70 on their first test and 90 on their second test. If the scores are plotted on a graph, write the equation in slope-intercept form that represents the student's score over time. What does the slope represent in this context?

• y = 20x + 50; the slope is 20.

• y = 30x + 40; the slope is 30.

• y = 20x + 70; the slope is 15.

• y = 10x + 60; the slope is 10.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A local bakery sells cupcakes for $3 each and cookies for $2 each. If you buy 4 cupcakes and 6 cookies, write the equation in slope-intercept form for the total cost based on the number of cupcakes purchased. How would you graph this?

• Total Cost = 3x + 12

• Total Cost = 4x + 8

• Total Cost = 3x + 6

• Total Cost = 2x + 6

Tags

CCSS.8.EE.B.5

A train travels from station A at (2, 3) to station B at (6, 7). Write the equation of the line in slope-intercept form that represents the train's route. What is the slope of the line?

• y = 3x - 3; slope = 3

• y = -x + 5; slope = -1

• y = x + 1; slope = 1

• y = 2x + 1; slope = 2

A swimming pool is filled with water at a rate of 5 gallons per minute. If the pool starts with 10 gallons of water, write the equation in slope-intercept form that represents the total amount of water in the pool over time. What is the y-intercept?

• y = 10x + 5; y-intercept is 5.

• y = 5x + 20; y-intercept is 20.

• y = 5x + 10; y-intercept is 10.

• y = 10x + 10; y-intercept is 10.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3