Explanation Given Information: The provided inequality is: 2 x − 3 y ≤ 7 Graph: Consider the provided inequality: 2 x − 3 y ≤ 7 Now, firstly consider the equation: 2 x − 3 y = 7 Now, substitute values of x to obtain the corresponding values of y and sketch the graph of the line. For x = 0 : 2 ( 0 ) − 3 y = 7 − 3 y = 7 y = − 7 3 Therefore, the point is ( 0 , − 7 3 ) . For x = 1 : 2 ( 1 ) − 3 y = 7 2 − 3 y = 7 − 3 y = 5 y = − 5 3 Thus, the point is ( 1 , − 5 3 ) . For x = 2 : 2 ( 2 ) − 3 y = 7 4 − 3 y = 7 − 3 y = 3 y = − 1 Thus, the point is ( 2 , − 1 ) . For x = − 1 : 2 ( − 1 ) − 3 y = 7 − 2 − 3 y = 7 − 3 y = 9 y = − 3 Thus, the point is ( − 1 , − 3 )

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ISBN: 9781337280426

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Chapter 5.1, Problem 6E

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To graph: The region that corresponds to the provided inequality 2x−3y≤7 and find the coordinates of all the corner points.

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Chapter 5.1, Problem 5E

Chapter 5.1, Problem 7E

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To graph: The region that corresponds to the provided inequality 2 x − 3 y ≤ 7 and find the coordinates of all the corner points.

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To graph: The region that corresponds to the provided inequality 2x−3y≤7 and find the coordinates of all the corner points.

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Chapter 5 Solutions