Topic Details (Notes format)

How to Graph Linear Equations (Slope-Intercept Form)

Subject: Mathematics

Book: Maths Mastery

The slope-intercept form y = mx + b reveals a line’s slope (m) and y-intercept (b). For example, if y = 2x + 3, the slope is 2 and the line intercepts the y-axis at (0, 3). You can quickly plot the point (0, b) on the y-axis, then use slope rise/run to locate more points. Graphing linear equations is foundational in analyzing trends, relationships between variables, or business metrics (like cost vs. revenue). Mastery of slope-intercept form helps interpret how changes in x impact y, essential for linear modeling and everyday problem-solving involving direct variation.

Practice Questions

What is the sum of the first 50 positive integers?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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

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The area of an equilateral triangle with side length 6 cm is:

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If the radius of a circle is doubled, what happens to its area?

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

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If the sum of three consecutive integers is 72, what are the integers?

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If the sum of the angles of a polygon is 1080°, how many sides does the polygon have?

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What is the sum of the interior angles of a hexagon?

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