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Determine whether each equation could represent a vertical line, a horizontal line, or neither. a.     x+3.4=0  b. 2x+3y=0 c.     y-10=0

Question

Determine whether each equation could represent a vertical line, a horizontal line, or neither.

 

a.     x+3.4=0

 

 

b. 2x+3y=0

 

c.     y-10=0

check_circleAnswer
Step 1

a. Determine whether x+3.4=0 represents a horizontal line or vertical line.

The vertical line is represented by an equation in the form of x k, wherek is constant.
The given equation x+3.4-0 can be written as x -3.4.
Clearly, 3.4 is in the form of xk, so the given equation represents vertical line.
Sketch the graph of the equation r+3.4 0 as shown below in Figure 1
x+3.4 0
Figure 1
From Figure , it is observed that the graph of the equation x+3.4 0 is vertical line
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Image Transcriptionclose

The vertical line is represented by an equation in the form of x k, wherek is constant. The given equation x+3.4-0 can be written as x -3.4. Clearly, 3.4 is in the form of xk, so the given equation represents vertical line. Sketch the graph of the equation r+3.4 0 as shown below in Figure 1 x+3.4 0 Figure 1 From Figure , it is observed that the graph of the equation x+3.4 0 is vertical line

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Step 2

b.2x+3y=0

...
Since the given equation 2x+3y 0 is not in the form of either x= k or y
concluded that it is neither horizontal line nor vertical line.
k, it can
be
Sketch the graph of the equation 2x+3y-0 as shown below in Figure 2
2x+3y=0
Figure 2
From Figure 2, it is observed that the graph of the equation 2x+3y 0 is vertical line.
help_outline

Image Transcriptionclose

Since the given equation 2x+3y 0 is not in the form of either x= k or y concluded that it is neither horizontal line nor vertical line. k, it can be Sketch the graph of the equation 2x+3y-0 as shown below in Figure 2 2x+3y=0 Figure 2 From Figure 2, it is observed that the graph of the equation 2x+3y 0 is vertical line.

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