Find the Slope
Slope Word Problems
Y-intercept
What's the difference?
100
y = mx +b
m
100
Your family traveled from Lincolnton to Atlanta. The trip was 238 miles long and took 3 hours and 42 minutes. What was the approximate rate you traveled?
About 65 miles per hour
100
y = mx + b
What is b
100
Function 1: y = x + 2 Function 2: (-2, -6), (0, -3), (2, 0) Which function has the greater slope?
What is Function 2; m = 1.5
200
y = -3x +15
Slope is -3
200
Suzie's savings account had $19.50 on day 3, 24 dollars on day 6, 30 dollars on day 10, and $37.50 on day 15, How much was she saving per day?
Suzie is saving $1.50 per day
200
Define y-intercept
What is the value of y when x=0, or the intersection of a line and the y axis
200
Which has a greater slope? A: y = -2.5x + 7 B: 3x + 4y = -12
What is B
300
-6x + 9y = 27
Slope is 2/3
300
Kelly's Equipment Rental charges based off the equation y = 5x + 25. Wendy's rental charges: 2 hr = $35, 5 hr = $65, 7 hr = $85. Who charges a less per hour and by how much?
Kelly charges $5 less per hour
300
Tom’s Lawn Maintenance company charges a flat fee of $20 for a service call, plus $9.50 per hour to cut grass. Rachel's Lawn Maintenance charges $27.50 for 1 hour, $47.50 for 3 hours, and $67.50 for 5 hours. Which complany chages less for a service call and by how much?
What is Rachel's Lawn Maintenance; $2.50
300
A tutorting service uses the following table to charge customers: 3 hr = $157.50, 7 hr = $287.50, 12 hr = $450.00. Another service uses the equation y = 30x + 80, what's the difference in registration fees?
$20
400
Find the slope of the line that passes through the points (3, -2) and (6, 2)
Slope is 4/3
400
Smart Student Learning Center charges students a registration fee of $25, plus an hourly rate of $30 for after-school tutoring. Brilliant Student Learning Center charges students for after-school tutoring as follows: 1 hr = $45, 3 hr = $115, 5 hr = $185, 7 hr = $255. Which center charges more per hour?
Smart Student Learning Center charges $5 less per hour
400
A tutorting service uses the following table to charge customers: 3 hr = $157.50 7 hr = $287.50 12 hr = $450.00 What is the registration fee?
$60.00
400
Ronny’s Carpet Cleaning uses the equation y = 15x + $22.50 to calculate the total cost, y, to clean carpet for x number of hours. Juan’s Carpet Cleaning uses the table: 1 hr is $38.50, 3 hr is $65.50, 6 hr is $106.00, 8 hr is $133.00. Which company charges less per hour, and by how much?
Juan’s Carpet Cleaning charges $1.50 less per hour.
500
x - y = -y + 5
Slope is undefined
500
Ron's Lawn Service charges $49 for 2 hours of work, $83 for 4 hours, and $117 for 6 hours. How much would Ron charge for 9 hours of work?
What is $168
500
Kelly's Equipment Rental charges based off the equation y = 5x + 25. Wendy's rental charges: 2 hr = $35, 5 hr = $65, 7 hr = $85. Who charges a lower flat fee and by how much?
Wendy, by $10
500
Ronaldo’s Heating and Cooling company uses the equation, y = 35x + 39.99 to calculate the cost, y, of working on equipment x number of hours. Brennan’s Heating and Cooling company uses the table below to calculate the cost of working on equipment for different numbers of hours. 2 Hours Cost $114.99, 4 hours cost $179.99, 6 hours cost $244.99. If it takes 5 hours to work on equipment, which heating and cooling company charges less and by how much less?
Brennan’s Heating and Cooling company charges $2.50 less for 5 hours of work.
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