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Worksheet: Determining the Slope of a Line from a Graph, a Table, or Coordinates

Q1:

What is the slope of the function represented by the given figure?

Q2:

What is the slope of the function represented by the given figure?

Q3:

What is the slope of the line passing through ( 2 , 1 4 ) and ( 3 , 2 2 ) ?

Q4:

Find the slope of the line shown.

  • A βˆ’ 4 5
  • B 5 4
  • C 4 5
  • D βˆ’ 5 4
  • E βˆ’ 1 2

Q5:

Given that the points shown in the table lie on a line, determine the slope of the line.

π‘₯ 1 4 7 10
𝑦 15 19 23 27
  • A 1 1 1 3
  • B4
  • C βˆ’ 1 1 3
  • D 1 1 3
  • E βˆ’ 4

Q6:

Given that the points shown in the table lie on a line, determine the slope of the line.

π‘₯ 1 4 7 10
𝑦 βˆ’ 4 βˆ’ 7 βˆ’ 1 0 βˆ’ 1 3
  • A βˆ’ 3 2 3
  • B βˆ’ 3
  • C1
  • D βˆ’ 1
  • E3

Q7:

Given that the points shown in the table lie on a line, determine the slope of the line.

π‘₯ 1 3 5 7
𝑦 0 βˆ’ 4 βˆ’ 8 βˆ’ 1 2
  • A2
  • B βˆ’ 4
  • C4
  • D βˆ’ 2

Q8:

What is the slope of the linear function represented by the given table?

π‘₯ -value 0 2 4
𝑦 -value 4 10 16

Q9:

Which of these linear functions has the greatest slope?

  • A
  • B 4 π‘₯ βˆ’ 3 𝑦 + 7 = 0
  • C
    π‘₯ βˆ’3 βˆ’2 βˆ’1 0 1 3 3
    𝑔 ( π‘₯ ) βˆ’3.6 βˆ’2.2 βˆ’0.8 0.6 2 3.4 4.8
  • D 𝑓 ( π‘₯ ) = √ 2 π‘₯ βˆ’ 9
  • E 5 π‘₯ βˆ’ 4 𝑦 + 7 = 0

Q10:

Find the slope of a road that rises 32 feet for every horizontal change of 400 feet.

  • A8
  • B 1 2 1 2
  • C 1 8
  • D 2 2 5
  • E βˆ’ 1 2 1 2

Q11:

The graph shows the distance Amelia traveled over her 2-hour bike ride. Which of the following is true?

  • AShe traveled at a constant speed of 8 miles per hour for the last hour.
  • BShe traveled at a constant speed of 10 miles per hour for the entire ride.
  • CShe traveled at a constant speed of 7 miles per hour for the entire ride.
  • DShe traveled at a constant speed of 4 miles per hour for the last hour.

Q12:

Find the gradient of the straight line which passes through the points and .

  • A
  • B2
  • C
  • D
  • E

Q13:

Find the gradient of the straight line which passes through the points and .

  • A
  • B
  • C
  • D
  • E

Q14:

Find the slope of the line that describes the relationship between the perimeter ( 𝑦 ) and the length ( π‘₯ ) as shown in the table.

Side Length ( π‘₯ ) 6 8 10 12
Perimeter ( 𝑦 ) 36 48 60 72