(2,-4) and ( -1,1) standard form

This question will require the understanding of "standard form".

x+y={number}

TO  SOLVE:

We will first need to find the slope. The slope can be determined by:

So our equation will be:

The slope will be -5/3. Now, let's solve the y-intercept also known as (0, y). To find this, we will just plug in our numbers. (I'd like to do this in y-intercept form)

y=mx+b

To solve, we will take either of the points. I'll choose (-1, 1) as it is easier.

1=-1(-5/3)+b

1=(5/3)+b

-2/3=b

So, our slope intercept form will be:

y=-5/3x-2/3.

We will convert it by subtracting x from both sides.

So thus, 5/3x+y=-2/3 is the answer!

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c

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺