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all right what I want to do is show you

guys how to find the slope between two

points when we're trying to find the

slope but there's a lot of different

ways that we like to describe slope one

of the most common ones the slope is

rise over run and what we mean by rise

and run is housing how much between two

points how far

what does the distance that your graph

or your change in elevation is risen and

how far is it gone left or right so we

need to go ahead and define that

distance we need to find the change so

let's go work slow very commonly

referred to as rise over run and what

does that really mean what is really the

rise of run well what that really is is

to change all right as Delta Y over

Delta X and what this means is the

change in Y over the change in X well

that's kind of craziness why would give

me a better thing any better way to

write that all right well if we have two

points we can label we have two points

we can label our points x1 y1 and y1 x1

y1 and x2 y2 so I'm gonna look at these

two points and I'm going to go ahead and

label them it doesn't matter how you

want to label left which one's x1 and

which ones x2 what I'm going to say this

one be x1 this one's like - oh hi

everyone

this one is x2 and this one is y2

so would you because you remember on a

coordinate point you have your X and

your Y your X in your life however you

can't both label these X Y so we use

subscripts to differentiate between the

two points all right so now if I know

that my slope is the change in Y over

the change in X all I'm going to do now

is just like we learned it before to

improve now we're just going to evaluate

and plug in our values into our equation

for slope all right so I'm going to take

my Y 2 which is a negative 8 minus y1

which is 4 all over X 2 just 3 minus 1

foot in parentheses a negative 1

remember I'm going to keep those

parentheses just to make sure that I'm

not making any mistakes making any

mistakes with my negatives so negative 8

minus 4 is become a negative in 12 and 3

minus a negative 1

these are going to to the two negatives

are going to cancel each other out and

it's going to become a positive positive

or negative 12 divided by 4 now becomes

a negative 3 so therefore our slope is a

negative 3 and a lot of times just let

you guys know a lot of times when you're

graphing like a negative 3 you need to

say oh well it's not in it's not the

rise or a run what's the rise or run

well remember we can always keep that

whatever you need to change a whole

number if your whole number is your

slope and you always need to have it at

in a fractional form just remember you

can always put it over one guys

that's your fractional form but it means

the exact same bet all right so that's

how you find the slope between two

points

you