Search 75,758 tutors
FIND TUTORS
Ask a question
0 0

find the slope of the line y = 8 and x = -5 or are they undefined

Tutors, please sign in to answer this question.

3 Answers

 Slope of a line between 2 points of a line given by Δy , = difference in vertical coordinates of 2 points           
                                                                         ΔX      difference in the horizontal coordinate of 2 points     
   X = 5  is a line parallel to Vertical axis:
 
    All points along the line X=5 have the same vertical value , their difference is always f 0 ,
     then:
 
       ΔY = 0
       ΔX
 
      Y  =8 :   is a line parallel with horizontal axis : all points along it have the same value of X, therefore;
                    the difference is always 0 
 
       Δx  = 0
 
       ΔyΔy    = undefined
       Δx     0 
 
 
 
 
 
       
 
        
Hi Shekinah;
y=8
The slope is defined as change-of-y divided by change-of-x...
(y-y1)/(x-x1)
(8-8)/(x-x1)
0/(x-x1)
x and x1 can be any two points.  The situation is that the sum of zero is in the numerator.  The slope is defined as zero.
 
x=-5
(y-y1)/(x-x1)
(y-y1)/(-5--5)
(y-y1)/0
Zero is the denominator, also called the divisor.  Nothing can be divided by zero.  This is an undefined slope.
 
y = 0 is the equation of a line with 0 slope and y intercept 8.
 
In other words, y = mx + b ⇒ y = (0)x + 8 ⇒ y = 8.
 
Similarly, x = -5 is a line perpendicular to the y-axis (i.e., infinite slope) and x-intercept -5.  There is no y-intercept.