Real Life Graphs on Linear Equations

Graphs that represent equations with straight lines

• Linear equation

• Simple equations

• Linear graphs

• Unknown variable

How does looking at a graph help us understand a linear equation?

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• 5/3 metres per hour
• 5 metres per hour
• 3 metres per hour
• 600 metres per hour

Write the equation for this graph? 

• y = - 10x + 60

• y = - 5x + 60

• y = - ¹/₂ x + 60

• y = - x + 60

Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.

Graph the equation with Total Money on the y axis and Number of Weeks on the x axis.

Select the best option for the graph

Which graph can be defined by the function y = -3x + 2?

• Graph A

• Graph B

• Graph C

• Graph D

Tom cycles to his Grandmother’s house, which is 12km from his home. He stays there for 45 minutes. The distance-time graph shows his journey. Work out the fastest speed that Tom cycles at on his way to his grandmother’s house.

• 16 km/h

• 8 km/h

• 4 km/h

• 12 km/h

What is represented by the gradient of the line?

• Distance

• Speed

• Time

• Change in time

• Travelling at 3km/h
• Travelling at 5km/h
• Stationary
• Travelling at 8km/h

• Slowing down
• Returning back to original place
• Travelling 20 kilometres
• Going down a hill