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

Tutors, sign in to answer this question.

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

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})/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.

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

Han G.

SAT, Math, English, and History Tutor

$10 per 15 min

View Profile >

Kevin S.

Personal tutoring: Series 3, 7, 63, 66, Accounting (CPA exam), Finance

$9.75 per 15 min

View Profile >

John A.

STEM Aggie Tutor specializing in Logic tutoring (TAMU/Blinn)

$8.75 per 15 min

View Profile >