Worksheets8.4C - Slope and Y-intercept
Total questions: 38
Worksheet time: 1hrs 16mins
2016 #39 (8.4C)
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2018 #38 (8.4C)
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2019 #9 (8.4C)
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2021 #34 (8.4C)
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2023 #24 (8.4C) - part 1
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2023 #24 (8.4C) - part 2
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2023 #24 (8.4C) - part 3
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Identify the slope of the red line.
1/3
3
-3
-1/3
(-4, 7) and (-6, -4)
What is the slope of the line that passes through the two points?
−21
−2
310
103
The table shows the number of gallons of gasoline in a car’s gas tank after the car has been driven x miles.
When these data are graphed on a coordinate grid, the points all lie on the same line. What are the slope and y-intercept of this line?
Slope = 25, y-intercept = 375
Slope = −25, y-intercept = 15
Slope = −1/25, y-intercept = 15
Slope = 1/25, y-intercept = 375
The graph of a linear function is shown on the grid.
Create an equation that represents the relationship shown on the graph. Move the correct answer to each box. Not all answers will be used.
y = (a) x + (b)
23
A company is drilling a water well. The graph models the linear relationship between the depth of the well and the time spent drilling. Which function best represents the relationship between y and x ?
y=6x
y=30x
y=5x+30
y=6x+30
A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week. Which function can be used to find t, the total number of gallons of water in the tank after w weeks?
t=15w−275
t=−15w+275
t=275w−15
t=−275w+15
A coach is ordering shirts for a team.
• The coach pays a one-time fee of $24.
• The coach also pays $8 for each shirt ordered.
Which function can be used to find, c, the total amount the coach pays in dollars when k shirts are ordered?
c=8k+32
c=8k+24
c=32k+8
c=24k+8
The graph shows the relationship between the number of gallons of fuel remaining in the tank of a semitruck and the number of miles traveled by the semitruck. Which function can be used to find y, the number of gallons of fuel remaining in the tank of the semitruck after it has traveled x miles?
y=240x−30
y=−61x+240
y=240x−10
y=−101x+240
Which function is best represented by this graph?
y=41x+8
y=41x−2
y=4x−2
y=4x+8
The ticket sales for a concert started at 4:00 P.M. The table shows the linear relationship between the number of tickets remaining and the number of hours since 4:00 P.M. Which function can be used to find y, the number of tickets remaining x hours since 4:00 P.M.?
y=3,000x+12,000
y=3,000x+15,000
y=−3,000x+12,000
y=−3,000x+15,000
Melissa is saving $25 that she earned for washing her mom's car. She earns $10 every week for doing chores, which she also saves. Which function can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores?
t=10n+25
t=25n+10
t=35n
t=15n
Mr. Leonard is renting a car for one day. The table below shows the total amount he will be charged for the car based on the number of miles he drives. Which equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?
c=0.10m+30
c=30m+0.10
c=0.50m+30
c=30m+0.50
Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid off. Which equation represents the relationship between m, the number of monthly payments Frankie has made, and t, the total amount that Frankie has paid the store?
t=50m+30
t=30m−50
t=50m−30
t=30m+50
Rhonda's job is to drive a car for a company. Each month she is paid the same salary. She is also paid extra money for the number of miles she drives the car each month.
• In July Rhonda drove 640 miles and was paid a total of $3,502.00.
• In August Rhonda drove 820 miles and was paid a total of $3,601.00.
Which function can be used to find y, the total amount she is paid in a month she drives x miles?
y=5.47x
y=4.39x
y=0.55x+3,150
y=3,150x+0.55
Which equation can be used to describe the relationship between x and y shown in the graph below?
y=3x+2
y=−3x−6
y=3x−6
y=−3x+2
