Which equation represents the line that passes through the point (-3, 2) and has a slope of 2 Why is it the right answer?

Step-by-step explanation:

y = mx+b

y - 2 = 2(x - -3)

y-2 = 2x +6

y = 2x +8

y=2x+4

Step-by-step explanation:

okay so basically we have a slope value (m=2) and a point (-3,2). we can put these into the point slope formula, which is

(y-y1)=m(x-x1)

(we need to leave a y and an x in order have the actual equation)

so we just plug in the values (y1=2 ; x1=-3 ; m=2)

(y-2)=2[x-(-3)]

y-2=2(x+3)

y=2x+6-2

y=2x+4

where is the triangle?

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 ☺