Worksheet: Slope of a Line from a Graph or a Table

In this worksheet, we will practice finding the slope of a line using graphs and tables.

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:

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 βˆ’ 1 1 3
  • B4
  • C 1 1 3
  • D 1 1 1 3
  • E βˆ’ 4

Q4:

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

π‘₯ -value 0 2 4
𝑦 -value 4 10 16

Q5:

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

Q6:

Find the slope of the line shown.

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

Q7:

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

  • A 1 2 1 2
  • B 2 2 5
  • C 1 8
  • D βˆ’ 1 2 1 2
  • E8

Q8:

Which of these linear functions has the greatest slope?

  • A
  • B 5 π‘₯ βˆ’ 4 𝑦 + 7 = 0
  • C 𝑓 ( π‘₯ ) = √ 2 π‘₯ βˆ’ 9
  • D 4 π‘₯ βˆ’ 3 𝑦 + 7 = 0
  • E
    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

Q9:

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

Q10:

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
  • A1
  • B βˆ’ 3
  • C βˆ’ 1
  • D βˆ’ 3 2 3
  • E3

Q11:

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
  • C βˆ’ 2
  • D4

Q12:

Find the slope of the given straight line.

  • A βˆ’ 7
  • B1
  • C 1 7
  • D7
  • E βˆ’ 1 7

Q13:

Use the graph to answer the following questions.

Determine the lengths of 𝐹𝐺, 𝐺𝐻, 𝐢𝐷, and 𝐷𝐸.

  • A 𝐹 𝐺 = 5 , 𝐺 𝐻 = 5 , 𝐢 𝐷 = 3 , 𝐷 𝐸 = 5
  • B 𝐹 𝐺 = 5 , 𝐺 𝐻 = 5 , 𝐢 𝐷 = 3 , 𝐷 𝐸 = 3
  • C 𝐹 𝐺 = 3 , 𝐺 𝐻 = 5 , 𝐢 𝐷 = 5 , 𝐷 𝐸 = 3
  • D 𝐹 𝐺 = 3 , 𝐺 𝐻 = 3 , 𝐢 𝐷 = 5 , 𝐷 𝐸 = 5
  • E 𝐹 𝐺 = 5 , 𝐺 𝐻 = 3 , 𝐢 𝐷 = 3 , 𝐷 𝐸 = 5

What is the ratio of 𝐺𝐻𝐹𝐺?

What do you notice about the ratios 𝐺𝐻𝐹𝐺 and 𝐷𝐸𝐢𝐷?

  • AThey are equal.
  • BThey are not equal.

What do the ratios 𝐺𝐻𝐹𝐺 and 𝐷𝐸𝐢𝐷 represent?

  • Athe slope of the line 𝐹𝐸
  • Bthe inverse of the slope of the line 𝐹𝐸

Q14:

Which line has a slope that is greater than 1?

  • A(c)
  • B(a)
  • C(b)

Q15:

What is the value of π‘₯ in the graph if the slope is equal to 0.7? Give your answer correct to two decimal places.

Q16:

What is the slope of the line in the given graph?

Q17:

The graph shows the capital of a company over 8 years. Determine the slope of the line which represents the increase in capital in the first three years.

  • A βˆ’ 1 0 3
  • B βˆ’ 3 1 0
  • C 1 0 3
  • D 3 1 0

Q18:

Calculate the slope of the line in the graph.

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