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‘₯14710
𝑦15192327
  • Aβˆ’113
  • B4
  • C113
  • D1113
  • Eβˆ’4

Q4:

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

π‘₯-value024
𝑦-value41016

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‘₯)681012
Perimeter (𝑦)36486072

Q6:

Find the slope of the line shown.

  • A54
  • B45
  • Cβˆ’54
  • Dβˆ’12
  • Eβˆ’45

Q7:

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

  • A1212
  • B225
  • C18
  • Dβˆ’1212
  • E8

Q8:

Which of these linear functions has the greatest slope?

  • A
  • B5π‘₯βˆ’4𝑦+7=0
  • C𝑓(π‘₯)=√2π‘₯βˆ’9
  • D4π‘₯βˆ’3𝑦+7=0
  • E
    π‘₯βˆ’3βˆ’2βˆ’10133
    𝑔(π‘₯)βˆ’3.6βˆ’2.2βˆ’0.80.623.44.8

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‘₯14710
π‘¦βˆ’4βˆ’7βˆ’10βˆ’13
  • A1
  • Bβˆ’3
  • Cβˆ’1
  • Dβˆ’323
  • E3

Q11:

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

π‘₯1357
𝑦0βˆ’4βˆ’8βˆ’12
  • A2
  • Bβˆ’4
  • Cβˆ’2
  • D4

Q12:

Find the slope of the given straight line.

  • Aβˆ’7
  • B1
  • C17
  • D7
  • Eβˆ’17

Q13:

Use the graph to answer the following questions.

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

  • A𝐹𝐺=5, 𝐺𝐻=5, 𝐢𝐷=3, 𝐷𝐸=5
  • B𝐹𝐺=5, 𝐺𝐻=5, 𝐢𝐷=3, 𝐷𝐸=3
  • C𝐹𝐺=3, 𝐺𝐻=5, 𝐢𝐷=5, 𝐷𝐸=3
  • D𝐹𝐺=3, 𝐺𝐻=3, 𝐢𝐷=5, 𝐷𝐸=5
  • E𝐹𝐺=5, 𝐺𝐻=3, 𝐢𝐷=3, 𝐷𝐸=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.

  • Aβˆ’103
  • Bβˆ’310
  • C103
  • D310

Q18:

Calculate the slope of the line in the graph.

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