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

A car travels 240 km in 4 hours. What is its average speed?

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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What is the HCF of 72 and 120?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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What is the sum of all even numbers between 1 and 100?

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

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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