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

Question

please show your work so I can know how to do this

Answer 1

 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

 

       Δy = Δy    = undefined

       Δx     0 

 

 

 

 

 

       

 

        

Answer 2

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.

 

Answer 3

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.