Math · Functions
Slope and Linear Functions
Find slope from two points, read slope and y-intercept from y = mx + b, and identify functions.
- 🎓 Grade 8
- 🧮 Math
- 📐 8.EE.B.6
- ❓ 22 questions
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Questions 22 questions
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A line that goes down from left to right has a negative slope.
True
What is the y-intercept of y = 4x − 7?
- A (0, 4)
- B (−7, 0)
- C (0, −7)
- D (0, 7)
In y = mx + b, b is the y-intercept.
What is the slope of y = ½x + 3?
- A 2
- B −3
- C 3
- D 1/2
In y = mx + b, m is the slope.
What is the slope of the line through (4, −3) and (5, −1)?
- A −2
- B 1/2
- C 2
- D 3
Slope = (−1 + 3) ÷ (5 − 4) = 2
What is the slope of y = −2x + 5?
- A −2
- B 5
- C 2
- D −5
In y = mx + b, m is the slope.
What is the y-intercept of y = ½x + 3?
- A (0, 1/2)
- B (0, −3)
- C (3, 0)
- D (0, 3)
In y = mx + b, b is the y-intercept.
What is the slope of the line through (5, 1) and (10, −9)?
- A −2
- B −5
- C −1/2
- D 2
Slope = (−9 − 1) ÷ (10 − 5) = −2
In y = 5x + 20 for a $20 fee plus $5 per hour, what does 5 mean?
- A the cost per hour
- B the total cost
- C the number of hours
- D the starting fee
What is the y-intercept of y = −2x + 5?
- A (0, −2)
- B (0, −5)
- C (0, 5)
- D (5, 0)
In y = mx + b, b is the y-intercept.
What is the slope of the line through (−1, 5) and (4, 20)?
- A 1/3
- B 20
- C −3
- D 3
Slope = (20 − 5) ÷ (4 + 1) = 3
What is the slope of the line through (4, 2) and (9, 12)?
- A 2
- B 1/2
- C 15
- D −2
Slope = (12 − 2) ÷ (9 − 4) = 2
Line A: y = 2x + 1. Line B goes through (0, 0) and (3, 9). Which has the greater rate of change?
- A Line B
- B Line A
- C They are equal
Line B has slope 3; Line A has slope 2.
What is the slope of y = 4x − 7?
- A 4
- B −7
- C −4
- D 7
In y = mx + b, m is the slope.
Which equation is NOT a linear function?
- A y = −x
- B y = 5
- C y = 2x + 1
- D y = x²
What is the slope of the line through (5, 2) and (9, 6)?
- A 8
- B 4
- C −1
- D 1
Slope = (6 − 2) ÷ (9 − 5) = 1
Which equation has slope 3 and y-intercept −2?
- A y = 3x − 2
- B y = −2x + 3
- C y = 3x + 2
- D y = −3x − 2
Which set of ordered pairs is a function?
- A (2, 5), (2, 6), (3, 7)
- B (1, 2), (2, 4), (3, 6)
- C (4, 1), (4, 2), (4, 3)
- D (1, 2), (1, 3), (2, 4)
Each input has exactly one output.
A horizontal line has what slope?
- A undefined
- B 1
- C −1
- D 0
A plan costs $20 plus $5 per hour. Which equation gives the cost y for x hours?
- A y = 20x + 5
- B y = 25x
- C y = 5x − 20
- D y = 5x + 20
What is the slope of the line through (5, −2) and (8, −11)?
- A −6
- B −3
- C 3
- D −1/3
Slope = (−11 + 2) ÷ (8 − 5) = −3
What is the slope of the line through (−1, −4) and (3, −16)?
- A −3
- B 3
- C −1/3
- D −8
Slope = (−16 + 4) ÷ (3 + 1) = −3
What is the slope of the line through (1, −2) and (2, −3)?
- A 1
- B −5
- C 0
- D −1
Slope = (−3 + 2) ÷ (2 − 1) = −1
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