Slope- (Definition) The slope of a line is the ratio of the vertical change to the
horizontal change between two
points that lie on a line in the
coordinate plane.- (Example) ?
y-intercept- (Definition)?- (Example)- For the equation y = x + 2, the
the y-intercept is 2.
For the equation y = 4x - 1, the
the y-intercept is -1.
linear equation- (Definition)- A linear equation is an equation
in two variables whose graph is
a line.- (Example)?
system of linear
equations- (Definition)?- (example)- y = 0.5x + 4
y = -x - 2
2x - 3y = 6
x + 5y = -3
solution of a

system of linear
equations- (Definition)-The solution of a system of
linear equations is any ordered
pair that makes all equations in
the system true.- (Example)?

point of
intersection- (Definition)?- (Example)-The lines y = 3x + 5 and
y = 2x + 4 intersect at the point
(-1, 2).
The lines x + 4y = 8 and
3x + 4y = 0 intersect at the
point (-4, 3)

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

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 ☺