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 slope of a line passing through the points (2, 3) and (4, 7)?

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

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

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If x^2 - 6x + 9 = 0, what is the value of x?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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The LCM of 12 and 15 is:

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If 2a + b = 10 and a - b = 4, what is the value of a?

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

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What is the area of a circle with a diameter of 14 cm?

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