SOLUTION: Which statement is true of the graph of the equation x=4? 1) It has a slope of 1. 2) It has a slope -4. 3) It is parallel to the x-axis. 4) It is parallel to the y-axis.

Question 197525: Which statement is true of the graph of the equation x=4?
1) It has a slope of 1.
2) It has a slope -4.
3) It is parallel to the x-axis.
4) It is parallel to the y-axis.
Found 2 solutions by vleith, jim_thompson5910:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
x=4 says every point on the line has an x coordinate of 4. So this is a vertical line that passes thru the point (4,0).
A vertical line is parallel to the y axis (the y axis is given by the line x=0).
Final answer .... D

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The graph of is a vertical line. So what does that tell you about the slope? Remember, ALL vertical lines have undefined slopes. So we can easily rule out choices 1) and 2). So we're only left with choices 3) and 4). Since is a vertical line, and all vertical lines are parallel to the y-axis, this tells us that is parallel to the y-axis.
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