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.

Algebra ->  Graphs -> 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.      Log On


   



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) About Me  (Show Source):
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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) About Me  (Show Source):
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The graph of x=4 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 x=4 is a vertical line, and all vertical lines are parallel to the y-axis, this tells us that x=4 is parallel to the y-axis.