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

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

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# 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

Δy = Δy = undefined

Δx 0

Hi Shekinah;

y=8

The slope is defined as change-of-y divided by change-of-x...

(y-y

_{1})/(x-x_{1})(8-8)/(x-x

_{1})0/(x-x

_{1})x and x

_{1}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-y

_{1})/(x-x_{1})(y-y

_{1})/(-5--5)(y-y

_{1})/0Zero 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.