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

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If 2x - 3 = 7, what is the value of x?

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

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If the probability of an event is 1/4, what is the probability of its complement?

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What is the area of an equilateral triangle with side length 10 cm?

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What is the cube of 4?

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

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What is the cube root of 729?

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If 5x - 2 = 13, what is the value of x?

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If 2x = 16, what is the value of x?

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