Topic Details (Notes format)

How to Interpret and Plot Line Graphs

Subject: Mathematics

Book: Maths Mastery

Line graphs track changes over continuous intervals, typically time. Data points are plotted in an XY-plane and connected by straight segments, illustrating trends or fluctuations. For example, if you log daily temperature for a week, each day is on the x-axis, and temperature on the y-axis. Drawing lines between points shows overall weather progression. Line graphs excel at highlighting upward or downward patterns, cyclical changes, or anomalies. Skilled interpretation helps business forecasting, scientific data analysis, and personal tracking (like weight changes or daily exercise logs) with clarity and insight.

Practice Questions

If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

View Question

A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

View Question

A number is increased by 20% and then decreased by 10%. What is the net change?

View Question

What is the HCF of 48 and 180?

View Question

The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

View Question

If x:y = 2:3 and z:y = 4:3, what is x:z?

View Question

If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

View Question

A man spends 75% of his income and saves Rs. 600. What is his total income?

View Question

The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

View Question

If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

View Question