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

What is the area of a sector of a circle with radius 14 cm and central angle 90°?

View Question

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

View Question

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

View Question

If a:b = 2:3 and b:c = 4:5, what is a:c?

View Question

The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

View Question

What is the sum of the first 50 positive integers?

View Question

A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

View Question

If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

View Question

If x - y = 5 and x + y = 15, what is the value of x?

View Question

If log(100) = 2 and log(10) = 1, what is log(1000)?

View Question