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When graphing x=-2, whey isn't there a slope or y intercept

also, when graphing y=3, is the slope 0, and what are 3 ordered pairs to y=3

 Aug 6, 2015

Best Answer 

 #1
avatar+128475 
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The graph of x = 2 is  a vertical line that goes through the x axis at the point (2, 0)  ....the slope is undefined.....to see why......take two points on this line, say, (2, 0) and (2,  1)..............note that the slope is: [1 - 0]/[2 - 2]   = 1/0    but, since we can't divide by 0, the slope is, by definition, undefined.  Also, this line never intersects the y axis, so there is no y intercept.

 

The line y = 3 is a horizontal line that interesects the y axis at (0, 3). Since a horizontal line neither rises nor falls, its slope is 0.  Three ordered pairs on this line are (0, 3) (1 ,3) and (2.3)....note that the y values are all the same.....only the x values change !!!

 

 

 Aug 6, 2015
 #1
avatar+128475 
+5
Best Answer

The graph of x = 2 is  a vertical line that goes through the x axis at the point (2, 0)  ....the slope is undefined.....to see why......take two points on this line, say, (2, 0) and (2,  1)..............note that the slope is: [1 - 0]/[2 - 2]   = 1/0    but, since we can't divide by 0, the slope is, by definition, undefined.  Also, this line never intersects the y axis, so there is no y intercept.

 

The line y = 3 is a horizontal line that interesects the y axis at (0, 3). Since a horizontal line neither rises nor falls, its slope is 0.  Three ordered pairs on this line are (0, 3) (1 ,3) and (2.3)....note that the y values are all the same.....only the x values change !!!

 

 

CPhill Aug 6, 2015

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