Explanation Given: The linear equation y + x = − 4 Approach Used: A linear equation in two variables is an equation that can be written in the form a x + b y = c where a , b , and c are numbers, a and b are not both 0 . To graph a linear equation in two variables, follow the steps below:- i. If the equation is of form y = a where a is a number, then the graph of y = a is a horizontal line that crosses the y -axis at a and parallel to the x -axis. Else proceed to next step. ii. If the equation is of form x = a where a is a number, then the graph of x = a is a vertical line that crosses the x -axis at a and parallel to the y -axis. Else proceed to next step. iii. Find three ordered pair solutions of the given equation by assuming the x -value or y -value and replacing the x -value or y -value in the given equation. iv. Plot these three ordered pair solutions on the graph. To graph a point, its position is first located on the x -axis, then on the y -axis and the point is finally plotted when this meet. Each ordered pair corresponds to one point in the graph. v. Draw a line through the plotted points. This the graph of the given linear equation. Calculation: Since, the given equation is not of form y = a or x = a . Hence, it is not parallel to x -axis or y -axis. Finding three ordered pair solutions of the given equation by assuming the x -value and replacing the x -value in the given equation. Let x = 1 . Substituting the value in the given equation y + x = − 4 to get the ordered pair as y + ( 1 ) = − 4 y + 1 = − 4 y = − 4 − 1 y = − 5 Thus, the first ordered pair solution for the given equation is ( 1 , − 5 )

8th Edition

ISBN: 9780134707648

Author: Martin-Gay, K. Elayn

Publisher: Pearson,

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Chapter 8.CT, Problem 29CT

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To graph:

The given linear equation.

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Ch. 8.1 - Prob. 1CC Ch. 8.1 - Prob. 1VRVC Ch. 8.1 - Prob. 2VRVC Ch. 8.1 - Prob. 3VRVC Ch. 8.1 - Prob. 4VRVC Ch. 8.1 - Prob. 5VRVC Ch. 8.1 - Prob. 6VRVC Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E

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To graph: The given linear equation.

Solution Summary: The author explains how to graph a linear equation in two variables.