Linear Graphs

The video tutorial explains the concept of line and linear graphs, focusing on their characteristics and how to interpret them. It covers plotting linear graphs on a Cartesian plane, identifying dependent and independent variables, and provides examples using temperature, distance-time, cost-quantity, and loan interest data. The tutorial emphasizes the consistent rise or fall in linear graphs and demonstrates how to read and plot these graphs effectively.

What is the main difference between a line graph and a linear graph?

• A line graph is always a straight line.

• A linear graph shows a consistent pattern of change.

• A line graph shows data that changes over time.

• A linear graph is always curved.

In a linear graph, which variable is typically placed on the x-axis?

• Dependent variable

• Independent variable

• Neither variable

• Both variables

If the cost of oranges increases by 4 rupees per orange, what is the dependent variable?

• Total cost

• Number of oranges

• Cost of oranges

• Price per orange

When plotting a linear graph, what is the first step?

• Choose a scale for the axes

• Plot the dependent variable on the x-axis

• Draw a straight line

• Label the graph

In the vehicle distance example, what does 1 centimeter on the y-axis represent?

• 1 kilometer

• 10 kilometers

• 25 kilometers

• 50 kilometers

What is the independent variable when plotting the cost of apples?

• Total cost

• Quantity of apples

• Price per kilogram

• Cost of apples

How is the simple interest calculated in the bank loan example?

• Principal plus rate plus time

• Rate times time divided by principal

• Principal times rate times time divided by 100

• Principal divided by rate