# Lesson Worksheet: Slope of a Line from a Graph or a Table Mathematics • 8th Grade

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.

 𝑥 𝑦 1 4 7 10 15 19 23 27
• A
• B4
• C
• D
• E

Q4:

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

 𝑥-value 𝑦-value 0 2 4 4 10 16

Q5:

Find the slope of the line that describes the relationship between the perimeter and the length as shown in the table.

 Side Length (𝑥) Perimeter (𝑦) 6 8 10 12 36 48 60 72

Q6:

Find the slope of the line shown. • A
• B
• C
• D
• E

Q7:

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

• A
• B
• C
• D
• E8

Q8:

Which of these linear functions has the greatest slope?

• A • B
• C
• D
• E
 𝑥 𝑔(𝑥) −3 −2 −1 0 1 3 3 −3.6 −2.2 −0.8 0.6 2 3.4 4.8

Q9:

The graph shows the distance Mia 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.

 𝑥 𝑦 1 4 7 10 −4 −7 −10 −13
• A1
• B
• C
• D
• E3

Q11:

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

 𝑥 𝑦 1 3 5 7 0 −4 −8 −12
• A2
• B
• C
• D4

Q12:

Find the slope of the given straight line. • A
• B1
• C
• D7
• E

Q13:

Use the graph to answer the following questions. Determine the lengths of , , , and .

• A, , ,
• B, , ,
• C, , ,
• D, , ,
• E, , ,

What is the ratio of ?

What do you notice about the ratios and ?

• AThey are equal.
• BThey are not equal.

What do the ratios and represent?

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

Q14:

Which line has a slope that is greater than 1? • A(c)
• B(a)
• C(b)

Q15:

What is the value of 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 3 years. • A
• B
• C
• D

Q18:

Calculate the slope of the line in the graph. 