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Find the slope of the following:

 

a) A line parallel to the line through the origin and the point (10,11)

 

b) A line perpendicular to the line that passes through (3,8) and (-1,9)

 

c) A line parallell to the x-axis

Guest Dec 1, 2017
edited by Guest  Dec 1, 2017

Best Answer 

 #1
avatar+5555 
+1

a)  A line through the origin, which is  (0, 0) , and  (10, 11)  has a slope of

 

[11 - 0] / [10 - 0]   =   11/10

 

and a line parallel to this also has a slope of  11/10 .

 

b)  A line that passes through  (3, 8)  and  (-1, 9)  has a slope of

 

[9 - 8] / [-1 - 3]   =   1 / -4   =   -1/4

 

and the slope of a perpendicular line  =  the negative reciprocal of  -1/4  =  4

 

c)   A line parallel to the  x-axis  will not "rise" at all between any two points.

 

its slope  =  rise / run  =  0 / run  =  0

hectictar  Dec 1, 2017
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1+0 Answers

 #1
avatar+5555 
+1
Best Answer

a)  A line through the origin, which is  (0, 0) , and  (10, 11)  has a slope of

 

[11 - 0] / [10 - 0]   =   11/10

 

and a line parallel to this also has a slope of  11/10 .

 

b)  A line that passes through  (3, 8)  and  (-1, 9)  has a slope of

 

[9 - 8] / [-1 - 3]   =   1 / -4   =   -1/4

 

and the slope of a perpendicular line  =  the negative reciprocal of  -1/4  =  4

 

c)   A line parallel to the  x-axis  will not "rise" at all between any two points.

 

its slope  =  rise / run  =  0 / run  =  0

hectictar  Dec 1, 2017

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