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Chapter 4: Q 4.28. (page 442)

Graph the equation by plotting points:4x+y=鈭�3

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information 

Graph the equation by plotting points:4x+y=鈭�3

02

Step 2. Find three points that are solutions to the equation.

First, solve the equation for y .

4x+y=鈭�3

Subtract 4xon both side

4x+y-4x=鈭�3-4xy=鈭�3-4x

03

Step 3. Now the equation is y=−3-4xFinding the point by putting the values.

x=0x=1x=2y=鈭�3-4xy=鈭�3-4xy=鈭�3-4xy=-3-4脳0y=-3-4脳1y=-3-4脳2y=-3-0y=-3-4y=-3-8y=-3y=-7y=-11

04

Step 4. Plot all points in a rectangular coordinate system.Plot the points (0,-3), (1,-7), (2,-11)

05

Step 5. Draw the lines through the three points. 

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Most popular questions from this chapter

Find the intercepts fory=13x+1

Find an equation of a line with slope25and y-intercept(0,4).

In the following exercises, find three solutions to each linear equation.

x+y=鈭�2

In the following exercises, complete the table to find solutions to each linear equation.

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

鈸� (3,鈭�1)鈸� (鈭�3,1)鈸� (鈭�2,2)鈸� (鈭�4,鈭�3) 鈸�(1,145)
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