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Chapter 3: Q.544 (page 365)

Graph the line for each of the following equations.

y=-x.

Short Answer

Expert verified

The graph of the line equationy=-x is shown below.

Step by step solution

01

Step 1. Given information

Consider the line equation y=-x.

The main objective is to plot the graph of the line equation.

02

Step 2. Sketch the graph 

Find three points that lie on the line equation.

For this, choose different xvalues and find the corresponding yvalues.

Choose x=-4,x=0,x=4.

The computed corresponding yvalues are tabulated below.

x
y=-x
x,y
-4
y=--4y=4
-4,4
0y=0
0,0
4y=-4
4,-4
03

Step 3. Sketch the graph 

Plot the three points and connect them with a line as shown below.

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Most popular questions from this chapter

Find the intercept for the equationx-y=5.

Find the equation of a line with a given slope andy-intercept and Write the equation in slope-intercept form.

slope 15and y-intercept 0,-5.

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=5.

Graph the equation x+y=-3using the intercepts.

Determine an equation of the line that contains the points (7,2) and (7,-2). Write the equation in slope-intercept form.
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