Thiago graphed the line shown in the table below. what is the slope and y intercept of the line.

x- -4 | -2 | 0 | 2 |
y- -23 | -11 | 1 | 13 |

Step-by-step explanation:

(-4,-23) , (-2,-11)

slope = (-11 - (-23) / (-2 - (-4) = (-11 +23) / (-2 + 4) = 12/2 = 6

y = mx + b

slope(m) = 6

(-4,-23)...x = -4 and y = -23

now we sub and find b, the y int

-23 = 6(-4) + b

-23 = -24 + b

-23 + 24 = b

1 = b

so ur equation is : y = 6x + 1with ur slope being 6 and ur y int being 1 or (0,1)

** just so you know, instead of working out the y= mx + b and finding ur y int, u could have just looked at ur points...ur y int is when x = 0...and u have a point (0,1)meaning ur x is 0making 1 ur y int.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

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 ☺