# Worksheet: Slope of a Line from Tables and Graphs

Q1:

What is the slope of the line that passes through the origin and the point (2, 5)?

• A0
• B
• C3
• D
• E

Q2:

The points in the table belong to the same line. Find the slope and the -intercept of the line.

 π₯ π¦ 5 10 15 20 β 2 1 4 7
• A slope, -intercept
• B slope, -intercept
• C slope, -intercept
• D slope, -intercept
• E slope, -intercept

Q3:

The graph below represents a relation between the time in hours and the amount of gas in a car tank in liters. Determine the amount of gas remaining after 15 hours of driving and the amount of gas consumed per hour.

• AThe amount of remaining gas is 24 liters and the amount of gas consumed is liters per hour.
• BThe amount of remaining gas is liters and the amount of gas consumed is liters per hour.
• CThe amount of remaining gas is 36 liters and the amount of gas consumed is liters per hour.
• DThe amount of remaining gas is 24 liters and the amount of gas consumed is liters per hour.

Q4:

The graph below represents the movement of a bicycle measured from a constant point. Calculate the velocity of the bicycle during the first four hours and during the next five hours.

• AThe first velocity is 450 km/h, and the second velocity is km/h.
• BThe first velocity is km/h, and the second velocity is km/h.
• CThe first velocity is km/h, and the second velocity is km/h.
• DThe first velocity is 75 km/h, and the second velocity is km/h.

Q5:

A farmer decided to dig a well. The graph represents the time in hours to dig the well against the depth of the well in meters . Find the depth of the well before digging, the time it took to finish digging, and the average digging depth per hour during the first six hours.

• A 15 m, 18 h, 5 m/h
• B 40 m, 18 h, m/h
• C 15 m, 40 h, m/h
• D 15 m, 18 h, m/h

Q6:

The graph shows the relation between time , and pages remaining of a book being read . Assuming the relation continues to be linear, find the number of pages in the book, the number of pages read per hour, and the number of hours it will take to finish the book.

• AThe number of pages in the book is 6, the number of pages read per hour is 20, and it will take 120 hours to finish the book.
• BThe number of pages in the book is 120, the number of pages read per hour is 10, and it will take 6 hours to finish the book.
• CThe number of pages in the book is 6, the number of pages read per hour is , and it will take 120 hours to finish the book.
• DThe number of pages in the book is 120, the number of pages read per hour is 20, and it will take 6 hours to finish the book.

Q7:

A man drove his car from City to City as shown in the figure where is the distance in kilometers traveled and is the time in hours. Find the uniform velocity of the car and the distance between the car and point 0 after 3 hours.

• A 35 km/h, 105 km
• B 75 km/h, 145 km
• C 75 km/h, 105 km
• D 35 km/h, 145 km

Q8:

The figure shows the relation between the amount of fuel left in a tank and the time in hours. Find the greatest capacity of the tank and how long it will take to be emptied.

• A 30 litres, after 30 hours
• B 30 litres, after 60 hours
• C 60 litres, after 30 hours
• D 60 litres, after 30 hours
• E 2 litres, after 30 hours

Q9:

The graph shows the distance traveled over time by a car. Find the average velocity of the car for the first four hours and then over the next three hours.

• AThe first velocity is 50 km/h, and the second velocity is km/h.
• BThe first velocity is km/h, and the second velocity is km/h.
• CThe first velocity is km/h, and the second velocity is km/h.
• DThe first velocity is km/h, and the second velocity is km/h.

Q10:

The graph shows the distance a car traveled over time. Given that the car moved at a constant speed, determine the speed the car was moving at.

• A 60 km/h
• B 100 km/h
• C 20 km/h
• D 80 km/h
• E 70 km/h

Q11:

Using the fact that the slope is the same between any two distinct points on a nonvertical line in the coordinate plane, calculate the value of in the graph.

• A 2
• B 3
• C 7
• D
• E 5

Q12:

The graph shows the distance a cyclist traveled over time. Calculate the total distance covered.

• A 100 km
• B 90 km
• C 60 km
• D 70 km

Q13:

The graph shows the distance a car traveled over a period of time. Calculate the average speed that the car traveled with.

• A km/h
• B km/h
• C km/h
• D km/h

Q14:

The graph shows the relationship between the gas in a car and the distance the car has traveled. Assuming that the relationship continues to be linear, determine the distance the car will have traveled when it runs out of gas.

• A 10 km
• B 540 km
• C 200 km
• D 300 km
• E 240 km

Q15:

The graph below represents the depth of a well in metres after the time in hours. Find the final depth of the well and the average depth per hour in the last four hours.

• AThe final depth is 40 m, and the average depth per hour for the last four hours is m/h.
• BThe final depth is 5 m, and the average depth per hour for the last four hours is m/h.
• CThe final depth is 40 m, and the average depth per hour for the last four hours is m/h.
• DThe final depth is 40 m, and the average depth per hour for the last four hours is m/h.

Q16:

Noah went on vacation. The graph represents the amount of money he spent there. Determine the amount he spent daily.

• A\$50
• B\$15
• C\$75.25
• D\$10.75
• E\$97.75

Q17:

The graph shows the height of a person is centimeters against their age in years. Calculate the difference between their height when they are 9 and 45 years old.

• A 175 cm
• B 125 cm
• C 36 cm
• D 25 cm

Q18:

The graph shows the capital of a company over 8 years. What was the starting capital?

Q19:

The given figure represents the paths of two trains and between two railway stations, where is the distance in kilometres, and is the time in hours. Determine the distance between the two stations, and find the time taken by each train to cover that distance.

• A 90 km, 5 hours for train , 9 hours for train
• B 30 km, 6 hours for train , 9 hours for train
• C 50 km, 5 hours for train , 4 hours for train
• D 90 km, 5 hours for train , 4 hours for train